Evaluate the following:
c) The height of each cylinder in a set of food-storage containers is 30 cm.
The radius of the largest container is 10 cm.
The volume of the smallest container is one-third the volume of the largest container.
The volume of the middle-sized container is two-thirds the volume of the largest
container. What is the volume of each container?

Evaluate The Following:c) The Height Of Each Cylinder In A Set Of Food-storage Containers Is 30 Cm. The

Answers

Answer 1

Answer:

Volume of smallest container = 3141.6 cm³

Volume of middle sized container = 6283.2 cm³

Volume of largest container = 9424.8 cm³

Step-by-step explanation:

The formula to find the volume of a cylinder = πr²h

The height of each cylinder in a set of food-storage containers is 30 cm.

The radius of the largest container is 10 cm.

Step 1

We can find the volume of the largest cylinder

= r = 10cm

h = 30cm

Volume of largest cylinder = π × 10² × 30

= 9424.8 cm³

Step 2

We find the volume of the smallest container

We are told in the question:

The volume of the smallest container is one-third the volume of the largest container.

Hence

Volume of Smallest container = 1/3 (9424.8 cm³)

= 3141.6 cm³

Step 3

The volume of the middle-sized container is two-thirds the volume of the largest container.

Hence,

Volume of the middle sized container =

2/3 (9424.8 cm³)

= 6283.2 cm³

Therefore, the volume of each container is

Volume of smallest container = 3141.6 cm³

Volume of middle sized container = 6283.2 cm³

Volume of largest container = 9424.8 cm³


Related Questions

The bars on a histrogram are side by side and do not touch each other.

True
False

SOMEONE PLEASE HELP AND NO LINKS OR FILES ASAP

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False they touch each other

Which form of payment can Courtney lose and not get back?

Answers

Answer:

Probably cash

Step-by-step explanation:

Because the other one would have your name and information on it and cash doesn't have any information or anything.

Answer:

credit

Step-by-step explanation:

because someone could take it hack into your account and steal your money with the information

I have a 1 in the ones place, a 4 in the tens place, and a 5 in the hundreds place.

Answers

Answer:

541

Step-by-step explanation:

if you have a 1 in the ones place and a 4 in the tens place and a 5 in the hundreds place this will be your number

What is a algebraic expression for 1,10,19

Answers

The algebraic expression for the given sequence 1, 10, 19 as required to be determined is; a (n) = 1 + ( n - 1 ) 9.

What is the algebraic expression for the given sequence?

As evident in the task content; it follows that the common difference of the given sequence is constant since; 19 - 10 = 10 - 1 = 9.

On this note, since the nth term of arithmetic sequences take the form;

a (n) = a (1) + ( n - 1 )d

Since the first term is; 1 and the common difference is; 9; the resulting algebraic expression is;

a (n) = 1 + (n - 1)9.

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7+2x÷3=5 what is x Pls help​

Answers

Answer:

x = 4

Step-by-step explanation:

Given

[tex]\frac{7+2x}{3}[/tex] = 5 ( multiply both sides by 3 to clear the fraction )

7 + 2x = 15 ( subtract 7 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

PLEASE HELP I WILL GIVE FIVE STARS AND BRAINLIEST Transformation and plot image.

Answers

Answer: You need to drew , this arrow , to each point  K,L,M,N,

Drawing must be parallel to , this arrow, AND , exactly the same length, as the arrow .

step 2.  when you drew it , then at the end are your new points, K",L",M",N".

Ok?

step 3.

Then you just read  the  coordinates.  of new  points .

I would gladly drew it ,  but I do not knew how to put picture  in  this , jet .

Step-by-step explanation:

solve the following equations graphically
x + y=3 & x-3y= -5

Answers

Answer:

[tex](x,y)\rightarrow(1,2)[/tex]

Step-by-step explanation:

Multiply first equation by 3 to help cancel out the "y" variable:

[tex]\displaystyle \left \{ {{x+y=3} \atop {x-3y=-5}} \right.\\\\\rightarrow \left \{ {{3x+3y=9} \atop {x-3y=-5}} \right.[/tex]

Combine system of equations on both sides:

[tex](3x+3y)+(x-3y)=9+(-5)\\4x=9-5\\4x=4\\x=1[/tex]

Thus,

[tex]x+y=3\\1+y=3\\y=2[/tex]

HELP DUE IN 10 MINS!


Find the sum of the interior angles 1. interior angle sum =?? degrees

Find the measure of one interior angle. 2. one interior angle: ?? degrees

Answers

Answer:

Sum of Interior Angles = 1,440º

Each Interior Angle =  144º

Step-by-step explanation:

Sum of Interior Angles = (n − 2) × 180°

Each Interior Angle (of a Regular Polygon) = (n − 2) × 180° / n

----------------------------

10 sided regular polygon

Sum of Interior Angles = (10 − 2) × 180º

Sum of Interior Angles = 1,440º

Each Interior Angle = (10 − 2) × 180º / 10

Each Interior Angle =  144º

Answer:

Sum of interior angles = 1440°

One of the interior angle = 144°

Step-by-step explanation:

This figure have 10 sides so it's called a Decagon

Sum of all interior angles of Decagon : 180 ( n - 2), where n = number of sides the polygon has.

=> 180 (10 - 2) = 1440

To find one of the interior angle : 1440 / 10 = 144

Hope this helps!

WILL GIVE BRAINLIEST + 5 STAR

x=
Length=
Width=

Answers

Answer:

16

14

8

Step-by-step explanation:

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available, how many ways can the knobs be painted

Answers

If six different colors of paint are available, 360 ways can the knobs be painted.

how many ways can the knobs be painted?

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available,

When examining permutations and combinations, we use factorials. Permutations tell us how many different ways we can arrange things if their order matters. Combinations tells us how many ways we can choose k item from n items if their order does not matter.

coat hanger has four knobs

6!  / 4! ( 4!)

6 * 5 * 4* 3 / 4 * 3 * 2* 1 (4 * 3 * 2 * 1)

= 30 * 1 2

=360

360 ways can the knobs be painted.

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Write an equivalent expression by distributing the "-" sign outside the parentheses:

-(-10p - 0. 7q) – 4. 6

Answers

After distribution of the negative sing in the parenthesis, the equivalent expression is 10.7p - 4.6

The expression that is given to us is -(-10p - 0. 7q) – 4. 6.

Now, we know that the meaning of equivalent expression is the it has the same value as that of the original expression.

We have to use the "-" and distribute it over the expression to form an equivalent relation,

So, we know,

-(-10p - 0.7q) – 4.6

Here, p is a constant,

Multiplying the negative sign inside of the bracket,

= (-(-10p)-(-0.7p)-4.6

= 10p + 0.7p - 4.6

= 10.7p - 4.6

So, the equivalent expression is 10.7p - 4.6.

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How do you find out if a triangle is acute obtuse or right?

Answers

a right angle has a 90 degree angle, an obtuse angle has an angle greater than 90 degrees, and an acute angle has an angle less than 90 degrees

Ms Steward is training for an IronMan Competition. She is determined to shatter every record ever known. She bikes, runs and swims. In two weeks she bikes 75.4 miles 8 times. She runs 22.4 miles three days and 27.5 miles 5 days. She swam 15 miles for 7 days consecutively. How many miles did Ms. Steward train in all?

Answers

Answer:

912.9 miles total

Step-by-step explanation:

75.4 miles biking x 8 times =  603.2 miles in biking

22.4 miles running x 3 days =  67.2 miles in running

27.5 miles running x 5 days =  137.5 miles running (2nd)

15 miles swimming x 7 days =  105 miles swimming

603.2+67.2+137.5+105 =

912.9 miles total

Why parallel algorithm is better than a sequential algorithm?

Answers

The capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.

What is the differences between parallel algorithm and sequential algorithm?

The differences between parallel algorithm and sequential algorithm are-

Sequential algorithm

One by one, each instruction is carried out in order. It only has one processor.Due to the single processor, it performs poorly and puts a heavy burden on the processor.The format utilized for data transport is bit-by-bit.The entire process takes longer to finish.Low price

Parallel algorithm

Every command is carried out simultaneously.There are several processors in it.Due to the several processor, it performs very fast and puts no burden on the processor.Transfers of data occur in bytes.The entire process takes less time to finish.Price is expensive.

Due to capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.

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A store sells jump ropes. Each jump rope costs the same amount. During a sale, the store reduces the price of each jump rope by $1.25. Jada
spends $15.08 on 2 jump ropes at the sale price.
What was the price of 1 jump rope before the sale? Enter the answer in the box.

Answers

Answer:

The jump rope cost $8.79 before the sale.

Step-by-step explanation:

She spent 15.08 on 2 while they were on sale. I divided 15.08 by 2 to find what each one cost individually on sale, which is $7.54. Then add $1.25 to $7.54= $8.79

Need the answer for these

Answers

Answer:

Step-by-step explanation:

2A. 3x=6 ⇒ x=2

2B. 3n=2(n-3) ⇒ 3n=2n-6 ⇒ n= -6

1. cross multiplication method

SOMEBODY PLEASE GIVE ME THE ANSWERS! I AM GIVING AWAY A LOT OF POINTS!

Answers

A quarter equals 0.25

You want to multipole the number of quarters you have by 0.25 to get the total value.

The equation would be V = 0.25n

The output would be V which is the dollar value of the number of quarters you have.

The independent value would be the input value (n) which is the number of quarters you have.

The effect of wearing different types of running shoes on the time it takes to
complete a race is being studied in an experiment. Which of these is most
likely to be an extraneous factor that could also affect the time it takes to
complete the race?
A. Number of people the stadium can hold
OB. Color of the shoes
OC. Day of the week
OD. Type of treads on the shoes

Answers

Most likely one of these unrelated factors that could possibly have an impact on how long it takes to finish the race is the environment

What is meant by extraneous solution?An extraneous solution (also known as a spurious solution) is a solution that develops during the problem-solving process but is not a true solution to the issue at hand, such as the answer to an equation. Any variable that you are not researching but that might have an impact on the results of your research study is referred to as an extraneous variable in an experiment. Uncontrolled auxiliary variables can result in conclusions regarding the link between independent and dependent variables that are incorrect. The numbers we obtain when solving equations that aren't actually solutions to the equation are referred to as extraneous solutions. Extraneous variables are anything that could potentially influence the outcomes but is not the independent variable.

Therefore the correct option is a) Number of people the stadium can hold

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1+1
2+2
3+3
Add all that up

Answers

Answer:

1+1

2+2

3+3= 12

Step-by-step explanation:

pls can I get branliest I need it

Answer:

12

Step-by-step explanation:

1+1+2+2+3+3

2+2+2+3+3

4+2+3+3

6+3+3

9+3

12

Annie and Bonnie are running laps around a 400-meter oval track. They started together, but Annie has pulled ahead, because she runs 25% faster than Bonnie. How many laps will Annie have run when she first passes Bonnie

Answers

Bonnie will complete four laps before being passed by Annie because she runs an additional quarter lap for every lap she completes. This indicates that Annie and Bonnie are on an equal footing, and Annie must complete an additional lap to pass Bonnie. Annie will have completed five laps after that.

What unitary method examples are there?

We can use the unitary method to calculate 100% of an amount. For instance, if 10% of the marbles in a pot are 35, then the total number of marbles in the pot will be 35 x 10%, or 350.

What circumstances allow us to use the unitary method in our daily lives?

The unitary method can be used to calculate how many kilometres a car will travel on one litre of gas if it travels 44 km on two litres of fuel. In other words, the unitary method is the process by which we determine the value of a single unit and then use that information to determine the values of multiple units.

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u get brainliest if you anser first and is right if i get this wrong i fail pls help me
for 50 points

Answers

what do you need help with

1. A state is considering adding another character to their vehicle license plates in order to increase the number of license plates available. Currently, a license plate must have exactly six character spaces. Each character space may be filled with any capital letter other than I or O or any number between, and including, 0 to 9. Letters and numbers may repeat on the plates.
(a) How many different license plate numbers are available under the current structure of exactly six characters per plate? Show your work.
(b) If the state required all license plates to have exactly seven characters instead of six, how many different license plate numbers would be available with the additional character requirement? Show your work.
(c) How many times bigger is the set of license plate numbers with exactly seven characters than that with the set of six characters? Show your work.
Answer: 

Answers

9514 1404 393

Answer:

  a) 1,544,804,416

  b) 52,523,350,144

  c) 34

Step-by-step explanation:

(a) Each character position can be any of 24 letters or 10 digits, so any of 34 characters. The number of possible characters sets increases by a factor of 34 for each added character. A six-character plate will have ...

  34^6 = 1,544,804,416 . . . possibilities

__

(b) 34^7 = 52,523,350,144 . . . possibilities

__

(c) 34^7/34^6 = 34 . . . times as many

Write the equation of a line that is perpendicular to y=14x - 4 and passes through the point (28, 16)

Answers

The equation of the line perpendicular to {y = 14x - 4} and passes through the point (28, 16) is y = - (1/14)x + 18.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation of the line as -

y = 14x - 4

The given equation of line is -

y = 14x - 4

Slope of the line perpendicular to the given line is -

m{p} = -1/14

The equation of this line will be -

y = -(1/14)x + c

For the point (28, 16), we can write -

16 = -(1/14) x 28 + c

c = 16 + 2

c = 18

So, the equation will be -

y = - (1/14)x + 18

Therefore, the equation of the line perpendicular to {y = 14x - 4} and passes through the point (28, 16) is y = - (1/14)x + 18.

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Please answer this question correctly please

Answers

Answer:

92

Step-by-step explanation:

Interesting question.

The given angle is 1/2 the central angle. The central angle is equal to the minor arcEG.

So the central angle = 46 *2

The central angle = 92

ArcEG = 92

H can be anywhere on the major arc EG and the answer would be the same.

Given
A
B


D
C

AB

DC
and
B
C


A
D

BC

AD
, prove

A
B
C


C
D
A
△ABC≅△CDA by filling out the flowchart below.

Answers

The second row's third box AC = AC ( common side ) ( common side ) box last. Therefore, by applying the ABCD ASA congruence axiom.

What is triangle ?

Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is depicted in the above figure. Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional figure. Three-sided polygons include triangles. A triangle's three angles add up to a full 180 degrees. A single plane contains the triangle. Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."

given

AB||DC , BC||AD

To show that

ΔABC≅ ΔCDA

First box

AB || DC (given )

below box to the first box

∠BAC = ∠DCA ( parallel lies cut by the transverse form congruent alternate interior angles )

Second box

BC||AD ( given )

Below box to the second box

∠DAC = ∠BCA ( parallel lies cut by the transversal form congruent alternate interior angles )

Third box in the second row

AC = AC ( common side )

Last box

So by using ASA congruence axiom

ΔABC ≅ΔCDA

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Pls help help help I’m failing help pls

Answers

Answer:

You must check the following boxes: whole number, integer, rational number, and real number.

Step-by-step explanation:

The answer to that expression is 3. It fits within the aforementioned boxes. Hope this helps; have a great day!

Answer:

EXCEPT IRRATIONAL NUMBER ALL ARE CORRECT.

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Joe the hiker decided to take a rest at the gas station before Kingston. While sitting at the picnic table, he noticed that there were many cars in the parking area. There were three times more silver colour cars than red cars. There were 2 more blue cars than red and silver cars together. There were twice more white cars than red. Joe counted 42 cars altogether in the parking lot.

How many white cars were there?
how many blue cars were ther?
how many red cars were there?
how many silvers were there

Answers

There are 7 white cars, 16 blue cars,  14 red cars and 5 silver cars.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let w represents white cars

b represent blue carr

r represents red cars

s represents silver cars

There were three times more silver colour cars than red cars

3s=r...(1)

There were 2 more blue cars than red and silver cars together

b+2=r+s..(2)

There were twice more white cars than red.

2w=r..(3)

42 cars altogether in the parking lot.

w+b+r+s=42

After solving the above equation we get

s=5, b=16, w=7 and r=14

Hence, there are 7 white cars, there are 16 blue cars, there are 14 red cars and 5 silver cars.

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In the figure, triangle ABC is a right triangle and m of angle A = 40 degrees. What is the measurement of angle ECD?

Answers

Answer:

Solution given:

<A=49°

<B=90°

angle ECD=?

we have

<A+<B+<C=180°[sum of interior angle of a triangle is 180°

<A+40+90=180°

<A=180°-130°

<A=50°

wehave

<A=<ECD[vertically opposite angle]

:.angle ECD=50°.

Un prisma cuadrangular regular tiene 4 m de arista de la base y 6m de altura Calcula el area y el volumen

Answers

Answer:

El área y volumen del prisma cuadrangular mencionado son respectivamente:

Área = [tex]16m^{2}[/tex] Volumen = [tex]96m^{3}[/tex]

Step-by-step explanation:

Para solucionar este ejercicio debes recordar que un prisma cuadrangular tiene como base y como superficie cuadrados, por lo tanto, para calcular el área de dicho cuadrado puedes utilizar la siguiente fórmula:

Área de un cuadrado = [tex]arista^{2}[/tex]

Ya que el ejercicio nos da el valor de la arista (4 metros), podemos reemplazarla en la ecuación y calcular:

Área de un cuadrado = [tex](4m)^{2}[/tex]Área de un cuadrado = [tex]16m^{2}[/tex]

Por último, para calcular el volumen debes multiplicar el área superficial, el área del cuadrado calculado, por la altura del prisma, cuyo valor dentro del enunciado es de 6 metros, de esta forma:

Volumen de un prisma cuadrangular = área superficial * alturaVolumen de un prisma cuadrangular = [tex]16m^{2}[/tex] * [tex]6 m[/tex]Volumen de un prisma cuadrangular = [tex]96m^{3}[/tex]

Como puedes ver tras los cálculos, el área superficial del prisma es de [tex]16m^{2}[/tex] y su volumen es [tex]96m^{3}[/tex].

Scarlett is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answers

Answer:

24 different outcomes

Step-by-step explanation:

The answer is 24 different possible outcomes. Since there are 4 colors and 6 numbers. Multiply the 4 by 6 to get 24. Hope this helps

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