The company wants to use the package that has the least amount of wasted space. The company should choose the prism because it has approximately 11. 6 in. 3 less wasted space than the cylinder. The prism because it has approximately 14. 1 in. 3 less wasted space than the cylinder. The cylinder because it has approximately 11. 6 in. 3 less wasted space than the prism. The cylinder because it has approximately 14. 1 in. 3 less wasted space than the prism

Answers

Answer 1

Volume is a three-dimensional scalar quantity. The company should choose the cylinder because it has approximately 11.6in³ less wasted space than the prism.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the two balls with a radius of 1.5 inches is,

[tex]=2 \times \dfrac43 \times \pi r^3 \\\\= 28.2743\rm\ in^3[/tex]

The Volume of the prism with dimensions 6in × 3in × 3in are,

Volume of the prism = 6in × 3in × 3in = 54 in³

The volume of the cylindrical box with a radius of 1.5 in and a height of 6 inches is,

Volume of Cylinder = πr²h = π × (1.5)² × 6 = 42.4115 in³

Wasted volume in Prism, when two balls are inside,

Wasted Volume = 54in³ - 28.27in³ = 25.72566 in³

Wasted Volume in Cylinder, when two balls are inside,

Wasted Volume = 42.4115in³ - 28.27in³ = 14.137 in³

The difference in the waste volume of prism and cylinder,

Difference = 25.72566in³ - 14.137in³ = 11.6in³

Hence, The company should choose the cylinder because it has approximately 11.6in³ less wasted space than the prism.

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Related Questions

Based on the allusion to calibans, readers can infer that the speaker believes most british people are prone to violence. Feels that the rioters are different than this shakespearean character. Believes that the current anger in brixton is justified. Feels that the rioters are similar to this shakespearean character

Answers

Answer: D

Explanation: feels that the rioters are similar to this Shakespearean character

Based on the allusion to Calibans, readers can infer that the speaker: D. feels that the rioters are similar to this Shakespearean character.

What is an allusion?

An allusion is a type of literary device in English literature and it can be defined as a reference in a literary work to a well known text, place, person, event, or thing.

This ultimately implies that, allusion avails an author or a speaker the opportunity to compress (embed) a great deal of meaningful and significant information into a phrase or word.

Based on the allusion to Calibans in "Midsummer" by Derek Walcott, readers can infer that the speaker feels that the rioters are similar to this Shakespearean character.

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Which sentence best expresses the main point of the speaker

Answers

there’s no sentences?

A store sells two different packages of glue sticks

Answers

Answer:

To make more money and give different options...

Explanation:

That makes the customer feel like they have options.

Answer:

is there anymore options friend?

Explanation:

In 150 words, summarize what you have learned in this lesson about american society in the first two decades after world war ii.

Answers

American society after world war ii was known to have changed a lot as they became major superpowers and became more involved  internationally.

How did American society change after WW?

As a result of the two World War, the United States was said to have become one of the strongest superpowers.

Hence, they became more open to the rest of the world and they also increased more of their international involvement in matters of peace, security and growth.

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Determine whether the events are independent or dependent. then find the probability brainly

Answers

I believe it’s independent for the reason of it being a variable

Charlie wants to be self-employed. Which career in the marketing, sales, and service career cluster has the highest rate of self-employment? street vendor merchandise displayer demonstrator real estate agent

Answers

Answer:

D Real Estate Agent :))))

Answer:

As per charlie to be self-employed the career in the ale and marketing service cluster that has the highest self-employment is that of a real estate agent.

What is self-employment?

Self-employment means to employ oneself that is a person would independent and does not have anyone over sighting their activities.

They are usually to work and for whom they work depends on the service they offer. Thus self-employment is a form of business and is limited to a single entity.

Explanation:

The Other guy is wrong the correct answer would be a real estate agent.

In brian greene's "a physicist explains why parallel universes may exist", what reason does greene give for why he believes parallel universes may exist?

Answers

The reason given by greene for why he believes parallel universes may exist is that there are only so many ways matter can arrange itself within that infinite universe.

Why parallel universe?

A matter is anything that has weight and occupy space. The whole universe consist of what is know as matter.

However, the theory of multiple universe shows that another universe may exist, which is quite distinct from what is already known to all.

Hence, this theory was supported by Brian Greene on the basis that there are only so many ways matter can arrange itself within that infinite universe.

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Scientists studied a deer population for 10 years. They generated the function f(x) = 248(1. 15)x to approximate the number of deer in the population x years after beginning the study. About how many deer are in the population 3 years after beginning the study?

Answers

Answer:

377

Explanation:

when you sub 3 for x you get 377

Evaluate homework and practice workbook answers geometry

Answers

Where is the work book at I don’t see it on here

Building sheep pens : darsh and darpan are fencing off a large rectangular area to build some temporary holding pens. to prep the males, females, and kids, they are separated into three smaller and equal-size pens partitioned page 30 sample paper 24 cbse maths basic x click here to purchase hard books of cbse online sample papers. 20 sample paper in each subject and rs 500/- for 4 subjects click here download india’s best study app having pdfs of all sample paper and question bank within the large rectangle. (i) if 384 ft of fencing is available and the maximum area is desired, what will be the dimensions of the larger, outer rectangle? (ii) what will be the dimensions of the smaller holding pens?

Answers

Since a maximum area is desired, the dimensions of the larger, outer rectangle would be equal to 96 ft and 96 ft.

How to calculate the area of a rectangle?

Mathematically, the area of a rectangle is calculated by using this formula:

A = LW

Where:

L is the length.W is the width.A is the area.

Since the perimeter shouldn't be larger than the available fencing, we have:

384 = 2L + 2W

2W = 384 - 2L

W = 192 - L

Now, the area becomes:

A = L × (192 - L)

A = 192L - L²

By using completing the square to find the roots, we have:

A = 192L - L²

0 = 192L - L² + 96² - 96²

0 = 96² - (L² - 192L + 96²)

0 = 9216 - (L - 96)²

L = 96 ft.

W = 192 - 96

W = 96 ft.

The dimensions of the smaller holding pens.

For the width of the smaller holding pens, we have:

Width = 96/3

Width = 31 ft.

However, the length of the smaller holding pens would remain the same as 96 feet.

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What causes the different seasons on earth brainly

Answers

The earth's spin axis is tilted with respect to its orbital plane. This is what causes the seasons. When the earth's axis points towards the sun, it is summer for that hemisphere. When the earth's axis points away, winter can be expected.

What two terms are used to describe the temperature at which solids and liquids

Answers

A solid is a sample of matter that retains its shape and density when not confined, A liquid is a sample of matter that conforms to the shape of a container in which it is held, and which acquires a defined surface in the presence of gravity.  

I hope this gives you some sort of assistance.

Reread the textbook just to make it better (if you can quickly look through it)

Anyways goodluck!

After filing for bankruptcy you might find your costs raised for brainly

Answers

After filing for bankruptcy, one might find his costs in insurance premiums and interest rates. Option D is correct.

What is bankruptcy?

Bankruptcy is the procedure by which the people who are unable to pay the debts to creditors, may get relief from some or all the debts.

The bankruptcy damages the credit of one who file bankruptcy. It may cost on his insurance premiums and the rate of interest as his score to take the loan is reduced.

The options of the given problem are:

O A. medical insurance rates.B. grocery bills and gasoline.C. collateral and other assets.D. insurance premiums and interest rates.

Thus, after filing for bankruptcy, one might find his costs in insurance premiums and interest rates. Option D is correct.

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In which step did shawna make an error? step 1. she incorrectly applied the pythagorean theorem. step 2. she incorrectly squared the numbers. step 3. she incorrectly isolated a2 step 4. she incorrectly solved for a.

Answers

The step in which Shawna make an error is in; Step 2; She incorrectly squared the numbers.

How to solve pythagoras theorem?

From the given triangle in the brainly link, we can deduce the correct steps through pythagoras theorem as:

Step 1; a² + 7² = 25²

Step 2; a² + 49 = 625

Step 3; a² = 576

Step 4; Taking square roots of both sides of step 3 gives us;

a = 24

Thus, the step in which Shawna make an error is in Step 2 because She incorrectly squared the numbers.

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Answer:

step 2

Explanation:

i got it right

How do furnace heating systems typically work? ignition of fuel creates a pressure change inside the furnace, causing a piston to exhaust hot air into the building. a bimetallic strip absorbs thermal energy from the air outside of the building, causing the transfer of thermal energy from fuel to the air inside the building. energy in the fuel’s chemical bonds is converted to thermal energy, which is then transferred to the air inside the building. thermal energy from outside of the building is transferred to the inside of the building using a liquid.

Answers

Answer:

C: Energy in the fuel’s chemical bonds is converted to thermal energy, which is then transferred to the air inside the building.

Explanation:

Answer: the answer is C Energy in the fuel’s chemical bonds is converted to thermal energy, which is then transferred to the air inside the building. 

Explanation:

How many cubic blocks of side length inch would it take to fill a cube with a side length of inch?

Answers

The number of small cubic blocks that is required to fill the big cubic blocks is 2.

How to calculate the volume of a cube.

Mathematically, the volume of a cube is given by the following formula:

Volume of cube = S³

Where:

S is the side length of the cube.

Given the following data:

Side length of small cube = 1/6 inch.Side length of big cube = 2/6 inch.

For the small cube:

Volume of cube = (1/6)³ = 0.5 in³

For the big cube:

Volume of cube = (2/6)³ = 1 in³

Therefore, the number of small cubic blocks that is required to fill the big cubic blocks is given by:

Number = 1/0.5

Number = 2 cubic blocks.

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Complete Question:

How many cubic blocks of side length 1/6 inch would it take to fill a cube with a side length of 2/6 inch

The number of cubic blocks of side length 1/6 inch required to fill the cube with side length 2/6 inch is 8

Volume of cube

The volume of a cube can be obtained by using the following formula

Volume (V) = length (L) cube

V = L³

How to determine the volume of small cube

Length of small cube (L) = 2/6 inch Volume of small cube (V) =?

V = L³

V = (1/6)³ in³

How to determine the volume of large cube Length of large cube (L) = 2/6 inch Volume of large cube (V) =?

V = L³

V = (2/6)³ in³

How to determine the number of small cube required Volume of large cube = (2/6)³ in³Volume of small cube = (1/6)³ in³Number required =?

Number = Volume of large / volume of small

Number = (2/6)³ ÷ (1/6)³

Number = 8

Complete question

How many cubic blocks of side length 1/6 inch would it take to fill a cube with a side length of 2/6 inch

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What is the important fraction of paraffin wax and asphalt

Answers

An important fraction of paraffin wax and asphalt is called fuel oil.

What is fractional distillation?

Fractional distillation can be defined as type of separation technique that is typically used for the separation of a liquid mixture or chemical mixture into fractions with different boiling points by means of distillation, so that one or more fractions of the liquid mixture will vaporize in a fractionating column.

Generally, the fractional distillation of a hydrocarbon such as crude oil produces many chemical compounds at different boiling points. Thus, an important fraction of paraffin wax and asphalt is called fuel oil.

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More businesses and organizations, such as amazon, uber, mta, an airline industry, professional sport organizations such as mlb and nba, among others, are employing the following pricing strategy, rather than relying on the fixed pricing strategies

Answers

The pricing strategy process that is mediated by most business and the professional sports organizations is a value-based pricing strategy.

What is a pricing strategy?

The pricing strategy is given as the process of setting the price at the lowest at good quality service as well. The quality of the service aids the process of customer acquisition and the pricing forms to bind the customer.

The pricing strategy used by the business and the sports organizations is the value-based pricing strategy.

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Both "the tiger" and "the lamb" convey similar messages, also called iambs. Parallelisms. Refrains. Themes

Answers

Both "the tiger" and "the lamb" convey similar messages, also called themes.

What is theme?

A theme is known to be any kind of idea or issue that is said to be widen in any given discussion, or others.

Conclusively, In the above, Both "the tiger" and "the lamb" convey similar messages, also called themes as they share similar characteristic in the poem.

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Answer:

Theme

Explanation:

Both convey saddnes and are about animals

When air is blown across the top of an open water bottle, air molecules in the bottle vibrate at a particular frequency and sound is produced. this phenomenon is called

Answers

Answer:

When air is blown across the top of an open water bottle, air molecules in the bottle vibrate at a particular frequency and sound is produced in a process called "refraction".

Explanation:

How many different ways can a club choose a committee of 4 from 15 members? 32,760 1,365 24

Answers

Answer:

1365 ways

Explanation:

Combinations formula for nchooser is n!/((n-r)!r!)

This becomes 15!/(11!4!)

which is (15*14*13*12)/4*3*2*1 or 15*13*7, or 1365

A key part of agile work at louis vuitton is having employees who are

Answers

A key part of agile work at louis vuitton is having employees who are able to think, redisign and are innovative

Agile Practice

Agile practice is a method of product development which is centered on continous improvements of a product in an iterative approach using short periods called sprint cycles to manage timelines

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Why did the united states use export controls with north korea brainly

Answers

Answer:

C. to stop the development of nuclear weapons

Explanation:

Just took the test

Two conducting spheres one having twice the diameter of the other

Answers

Answer:

energy at each trophic level is lost in the form of heat

What is the best summary of this monologue? portia says that if brutus were simply sick, he would do something to get better. As his wife, he has made a promise to her, and she pleads with him to tell her what is on his mind. She also inquiries about the men who were sneaking around their house. Portia pleads with brutus and says that she deserves to know what is wrong. Portia reminds brutus that she owes it to him to be honest when she is worried and to treat him like his other half. Portia tells brutus that his body is healthy. She reminds him that, as his wife and other half, she will stick by him, no matter what happens

Answers

Answer:

A.Portia says that if Brutus were simply sick, he would do something to get better. As his wife, he has made a promise to her, and she pleads with him to tell her what is on his mind. She also inquiries about the men who were sneaking around their house.

Explanation:

The best summary of the monologue is as follows:

Portia says that if Brutus were simply sick, he would do something to get better. As his wife, he has made a promise to her, and she pleads with him to tell her what is on his mind. She also inquired about the men who were sneaking around their house.

Thus, the correct option for this question is A.

What do you mean by Monologue?

In literature, monologue may be characterized as a type of literary format through which a single person extends or deliver a very long speech. The objective of this descriptive speech is to understand the audience for a particular cause and motive.

According to the context of this question, Portia performs the same in order to express all the consequences and possibilities from all perspectives. For example, if Brutus were simply sick, he would do something to get better. As his wife, he has made a promise to her, and she pleads with him to tell her what is on his mind.

Therefore, the most valid option for this question is found to be A.

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If the radius of a circle is 3. 5 inches, its diameter is inches and its approximate area is square inches

Answers

Answer: 7 Inches

Explanation:

Diameter = 7 inches

Area of circle is 38.46 inches²

Step-by-step explanation:

Given :The radius of a circle is 3.5 inches.

We have to find its diameter and area.

Since diameter is twice of radius.

So radius = 3.5 inches

Diameter = 2× 3.5 inches = 7 inches

Area of circle =

Substitute, r = 3.5

Area of circle = (3.5)

Simplify , we have,

Area of circle = 12.25

Using π = 3.14

We have,

Area of circle =  38.465

Thus, Area of circle is 38.46 inches²

Choose the best translation of the following sentence. as for me, i don't know. por mi parte, no sé. para siempre, no sé. para que sepas, no sé. por ejemplo, no sé.

Answers

The best translation of the following sentence "as for me, i don't know" we have that will be "por mi parte, no sé".

This will be the correct translation because when we look at the translation of the other options we have that they correspond to :

"para siempre, no sé" wil correspond to "forever i don't know""para que sepas, no sé" will correspond to "just so you know, i don't know""por ejemplo, no sé" will correspond to "for example, I don't know."

In this way, the translation that best suits is "por mi parte, no sé".

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Answer:

A-Por mi parte, no sé. :)

Explanation:

good luck :)

Which math sentence can be used to determine if this triangle is a right triangle?

Answers

Answer:

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two side

All of the following are examples of typical cases brought by the sec against individuals and companies for violating stock market regulations except: a. Insider trading b. Accounting fraud c. Corporate espionage d. Providing misleading information

Answers

Answer:

Corporate espionage

Explanation:

sry im late but i think this the answer

The cost of tuition at the college that lacy wants to attend is $12,500 per year. lacy’s family will pay 70% of the tuition cost each year. lacy has two years to save enough money to attend her first year of college. what is the minimum amount that she should save each month in order to have enough money to attend her first year of college?

Answers

Answer:

$156.25

Explanation

1 - 0.7 = 0.3$12,500 x 0.3 = $3750$3750/24 months=$156.25
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