Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.

Find The Volume Of The Cylinder.Either Enter An Exact Answer In Terms Of \pipi Or Use 3.143.143, Point,

Answers

Answer 1

Volume is the measure of 3 dimensional space. The volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.

What is the volume of a cylinder?

Suppose that the radius of considered cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

For this case, we're specified that:

Radius of the considered cylinder = r = 3 unitsThe height of the considered cylinder = h=  6 units.

Thus, the volume of this cylinder is:

[tex]V = \pi r^2 h = \pi (3)^2 (6) = 54\pi\: \rm unit^3[/tex]


Thus, the volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.

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Related Questions

To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?

A. 2/3
B. 1/1
C. 3/2
D. 5/3

Answers

Answer:

D. 5/3

Step-by-step explanation:

[tex]\frac{1/6+1/2+1/3+x}{4} =2/3[/tex]

[tex]1/6+1/2+1/3+x=8/3[/tex]

[tex]x=8/3-1/6-1/2-1/3[/tex]

[tex]x=8/3-1/6-3/6-2/6[/tex]

[tex]x=8/3-6/6[/tex]

[tex]x=16/6-6/6=10/6[/tex]

simplified

[tex]x=5/3[/tex]

Hope this helps

An appropriate statistical tool for accounting for sampling error in an estimate is A. A scatter chart B. A frequency distribution C. A confidence interval D. A standardized score E. All of the above F. None of the above

Answers

The statistical tool for accounting for sampling error in an estimate is confidence interval.

What is sampling?

The term sampling has to  do  with the selection of a given number of participants from the population in susch a way that reflects the population of the entire population.

Sampling is usually prone to given degree of error. The statistical tool for accounting for sampling error in an estimate is confidence interval.

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please answer it correctly

Answers

Answer:

40 degrees

Step-by-step explanation:

if the lines are perpendicular, then they are also sharing the same line so that means, its a simple equation of 180-140=40.

Answer:

The value of angle 2 = 40°

Step-by-step explanation:

Given : angle 1 = 140°

angle 1 + angle 2 = 180° { because they are linear pair }

=> 140 + angle 2 = 180°

=> angle 2 = 180 - 140

=> angle 2 = 40°

If sin 1/3, what are of the values of cos 0 and tan 0?

Answers

Answer:

B

Step-by-step explanation:

SohCahToa

Sin opposite/hypotenuse

Cos adjacent/hypotenuse

Tan opposite/adjacent

so if sin is 1/3 the opposite is 1 and the hypotenuse is 3

to find cos do a^2+b^2=c^2

1^2 + x^2 = 3^2

1+x^2=9

subtract 1 from both sides

x^2=8

do the square root x=2 sq root 2

that leaves u with

opposite is 1

hypotenuse is 3

adjacent is 2 sq rt 2

cos= 2 sqrt 2 / 3

tan= 1 / 2 sq rt 2 which is also eqal to sq rt 2 / 4

B

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

3*2/3=2

(982x5.47)-(598x78)+28=y

Answers

Answer:

4805.38

Step-by-step explanation:

982×5.47=5371.54

598×78=46,644

5371.54-46644=4805.10

4805.10+28=4805.38

simplify the expression -6(3x-4)

Answers

Answer:

-18x + 36 for the -6(3x-4) and 12x - 20 for the one on the image.

Step-by-step explanation:

You have 2 questions so I'll answer both of them (One written and the image as well)

-6 (3x-4)

You need to multiply -6 by 3x and -4

-18x + 36 Is the simplified version

**Remember that when multiplying two negatives they turn into a positive.

-2x (-6 + 10)

You need to multiply -2x by -6 and 10

12x - 20

A circle with center O is inscribed in a square with a
perimeter of 40, as shown below. What is the area of the
shaded region?

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Areas and Volumes.

Area of Shaded region = Area of Square - Area of inscribed Circle.

Radius if circle = 10/2 ==> 5 units

hence,

Area of circle = 25 π units

Area of square = (10)^2 ==> 100 units

hence the area of shaded region = 100 - 25π

==> Area of shaded region = 25 (4 - π)

Correct option is G.)

Hillsdale Orchard's owners decide to plant 30 new Gala apple trees. Complete the ratio table to find the number of new Fuji apple trees the owner should plant if they want to maintain the same ratio of Fuji apple trees to Gala apple trees.

Ratio table
Fuji apple trees | __ __ 160
Gala apple trees | 30 __ 120

Please fill in the blank spaces in the table

Answers

Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the table:

Ratio of Fuji apple trees to Gala apple trees = 160 / 120 = 4/3

Hence, for 30 new galla trees, number of Fuji trees is:

Fuji trees = (4/3) * 30 = 40

Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.

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Peter set up the iron board to iron his shirt. 3 If m 3 is 65°, what is the measure of its vertical angle? OA. 155° OB. 65 OC. 25° OD. 115°​

Answers

Answer:

the same  65 degrees

Step-by-step explanation:

Last year, jess saw x dramas and y comedies at the movie theater. if she went to the theater no more than 8 times, which inequality best represents the number of movies she saw? x y < 8 x y > 8 x y ≤ 8 x y ≥ 8

Answers

Assuming she went to the theater no more than 8 times. The inequality best represents the number of movies she saw is: x + y ≤ 8.

Inequality

The inequality that represent the number of movies is: x + y ≤ 8

Where:

x represent drama at the movie theater

y represnt comedies at the movie theater

≤ represent less than

8=Number of times

Therefore the inequality is: x + y ≤ 8.

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Answer:

c on edge

Step-by-step explanation:

because i took the test and got a 100

Use the long division method to find the result when 4x3 -2x2 – 15x + 6 is
divided by x-2

Answers

Answer:

[tex]4x^2+6x-3[/tex]

Step-by-step explanation:

"/" substitutes the normal division symbol

                  [tex]4x^2[/tex] [tex]+6x[/tex] [tex]-3[/tex]

         ______________

[tex]x-2/4x^3-2x^2-15x+6[/tex]

         [tex]4x^3[/tex] [tex]-8x^2[/tex]

______________________

                 [tex]6x^2[/tex]  [tex]-12x[/tex]

______________________

                         [tex]-3x+6[/tex]

x multiplied by what equals [tex]4x^3[/tex]? [tex]x(4x^2)=4x^3[/tex], so the first number that goes on top is [tex]4x^2[/tex]. Multiply x by [tex]4x^2[/tex] and put it below to the [tex]4x^3[/tex] on the first row. Multiply x-2 by [tex]4x^2[/tex] and put it below  the [tex]-2x^2[/tex] . Subtract the first row from the second row.

x multiplied by what equals [tex]6x^2[/tex]? [tex]6x[/tex]. Repeat the same process as before except with [tex]6x^2[/tex]

Mei runs the same distance 6 days each week. In 4 weeks, she runs 151.68 miles. How many miles does Mei run each day?

Answers

Answer: 6.32

Step-by-step explanation: 6 days a week in 4weeks Is 24days

Divide the total distance by 24

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 9 boys and 9 girls are competing, how many different ways could the six medals possibly be given out?

Answers

Answer:

the six medals possibly be given out by three medals for girl and three medals for boy

Convert 389.1 L to mL​

Answers

The answer is 389100 milliliters

Sam buys a DVD player for $55. 95 and it is on sale for 40% off regular price. How much money will same save

Answers

Answer:

$ 22.38

Step-by-step explanation:

If the pre-sale price is $ 55.95

 40 % of this would be  .4 * 55.95 =  $ 22.38

In ΔFGH, = 440 inches, = 990 inches and ∠G=164°. Find the length of , .

Answers

Answer:

1418 ( Hope this helps! )

Step-by-step explanation:

g= 440+990-2(440)(990) cos 164

g=193600+980100-2

g=193600+980100+837451.1895

g= 2011151.1895 Square root and round

Please solve and show your work

SA=π(9)²+π9*19


* is how I do the multiplication symbol btw

Answers

Answer:

791.28

Step-by-step explanation:

1. 3.14*9²=254.34

2. 3.14*9*19=536.94

3. 536.94+254.34=791.28

I r d k sorry ghhfdhjh hhhhj

I’ll markbrainluest A local water park has two types of season passes. Plan A costs a one-time fee of $140 for admission plus $8
for parking every trip. Plan B costs a one-time fee of $50 for parking plus $23 for admission every trip. How
many visits must a person make for plan A and plan B to be equal in value?

Answers

Answer:

6

Step-by-step explanation:

140+8X=50+23X

8X-23X=50-140

-15X=-90

X=-90/-15

X=6 TRIPS IS THE ANSWER.

PROOF:

140+8*6=50+23*6

140+48=50+138

188=188

A circle has a central angle measuring startfraction 7 pi over 6 endfraction radians that intersects an arc of length 18 cm. what is the length of the radius of the circle? round your answer to the nearest tenth. use 3.14 for pi. 3.7 cm 4.9 cm 14.3 cm 15.4 cm

Answers

The length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm

How to calculate the length of aan arc?

The formula for calculating the legnth of an arc is expressed as:

L = rtheta

r is the radius

Theta is the subtended angle

Given the following

18 = r(7pi/6)
7pi r = 18 * 6

7pi r = 108
r = 108/7pi

r = 4.9cm

Hence the length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm

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Answer:

B or 4.9cm

Step-by-step explanation:

Drag the numbers to order them from greatest to least, with the greatest at the top.

Answers

Answer:

the order that they are in right now is right

Step-by-step explanation:

Please help!!
Find the value of x

A. 12
B. 6
C. 10

Answers

Answer:

x = 12

Step-by-step explanation:

Let's find the measure of major arc MNB:

360 - arc MB = major arc MNB

Now, let's plug in what we know:

360 - (80 + 60) = major arc MNB

Next, combine like terms, and replace "major arc MNB" with "x."

360 - 140 = x

220 = x

Now, we know that the measure of major arc MNB equals 220 degrees.

Angle MLB is going to be double the measure of major arc MNB, so let's set up an equation for this situation:

2(Angle MLB) = major arc MNB

Now, let's plug in what we know:

2(9x + 2) = 220

Finally, let's solve for x:

18x + 4 = 220

18x = 216

x = 12

Suav wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 19 ∘ ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest hundredth of an inch if necessary.

Answers

The height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

The situation forms a right angle triangle.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the hypotenuse of the right triangle formed is the length of the fiberboard.

The height of the ramp formed is the opposite side of the right triangle.

Hence,

sin 19° = opposite / hypotenuse

sin 19° = h / 27

cross multiply

h = 27 × sin 19°

h = 27 × 0.32556815445

h = 8.79034017034

h = 8.79 inches.

Therefore, the height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

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Answer:

8.79 inches

Step-by-step explanation:


19. The ratio of blue to green marbles is

2:3. If there are only blue and green
marbles, what percent of the
marbles are blue?

Answers

Answer: 40%

Step-by-step explanation:

A bakery sold a total of 400 cupcakes in a day, and 184 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?

Answers

Answer:

46%

Step-by-step explanation:

184/400=vanilla

184/400=46/100=46%

hope this helps

can anyone help me???

Answers

Answer:

6

Step-by-step explanation:

3 3/4  = 15 / 4     =   105 / 28

2 7/28 = 63/28

105/68  +  63/28   =   (105 + 63) / 28 = 168/28 = 6

given:

[tex]3 \frac{3}{4 } + 2 \frac{7}{28} [/tex]

to find:

the simplest form.

solution:

[tex] \frac{15}{4} + \frac{9}{4} [/tex]

[tex] = \frac{(15 \times 4) + (9 \times 4)}{4 \times 4} [/tex]

[tex] = \frac{60 + 36}{16} [/tex]

[tex] = \frac{96}{16} [/tex]

[tex] = 6[/tex]

therefore the correct answer is option C.

If you borrow $1000 for 5 years at an interest rate of 10%, the amount of interest you pay is?

Answers

Answer:

p=1000

t=5 years

r=10%

i=(ptr)/100

i=(1000×5×10)/100

i=50000/100

i=500

Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.

4, 13/3, 14/3, 5, 16/3, …

Is the answer: Neither?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]

[tex] \sf{ \dfrac{14}{3}- \dfrac{13}{3} = \dfrac{1}{3}} [/tex]

[tex] \sf{ {5}{}- \dfrac{14}{3} = \dfrac{15-14}{3} =\dfrac{1}{3}} [/tex]

[tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of } \sf \dfrac{1}{3} [/tex]

Answer:

Arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\textsf{Given sequence}=4, \dfrac{13}{3}, \dfrac{14}{3}, 5, \dfrac{16}{3},...[/tex]

If a sequence is arithmetic, the difference between consecutive terms is the same (this is called the common difference).

If a sequence is geometric, the ratio between consecutive terms is the same (this is called the common ratio).

[tex]\sf 4\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad\dfrac{13}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{14}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad 5\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{16}{3}[/tex]

As the difference between consecutive terms is [tex]\sf \frac{1}{3}[/tex] then the sequence is arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]

General form of an arithmetic sequence: [tex]\sf a_n=a+(n-1)d[/tex]

where:

[tex]\sf a_n[/tex] is the nth terma is the first termd is the common difference between terms

Given:

a = 4[tex]\sf d=\dfrac{1}{3}[/tex]

So the formula for the nth term of this sequence is:

[tex]\implies \sf a_n=4+(n-1)\dfrac{1}{3}[/tex]

[tex]\implies \sf a_n=\dfrac{1}{3}n+\dfrac{11}{3}[/tex]

Please Help i need to know this asap

Answers

Answer:

(0, - 6)

Step-by-step explanation:

Midpoint Formula

M = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Solving

M = (-3 + 3 / 2, -7 - 5 / 2)M = (0, -12/2)M = (0, - 6)

Answer:

The midpoint is (0, -6)

Step-by-step explanation:

Step 1:  Determine the midpoint

[tex]midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]

[tex]midpoint = (\frac{-3 + 3}{2}, \frac{-7 + (-5)}{2})[/tex]

[tex]midpoint = (\frac{0}{2}, \frac{-7 -5}{2})[/tex]

[tex]midpoint = (0, \frac{-12}{2})[/tex]

[tex]midpoint = (0, -6)[/tex]

Answer: The midpoint is (0, -6)

Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.

Answers

Answer:

12/13

Step-by-step explanation:

We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.

The adjacent side to angle C is BC

The hypotenuse is AC because it is opposite to the right angle

So...

cosine is (BC)/(AC)

36/39

12/13

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