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Glencoe Math: Course 3, Volume 2

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Glencoe Math: Course 3, Volume 2 View details

Mid-Chapter Check

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Exercise 3 Page 616

Use the formula for the volume of a cylinder.

19 000.4 m^3

Practice makes perfect

We are given a cylinder and we want to find its volume.

To calculate the volume of a cylinder, we can use the following formula. V=π r^2 h In this formula, r is the radius of the base and h is the height of the cylinder. From the diagram above we can see that the diameter of the base is 24 meters. Recall that the diameter of a circle is twice the radius. With this in mind, we can find the radius by substituting d=24 into the formula below.

d=2r

d= 24

24=2r

.LHS /2.=.RHS /2.

24/2=2r/2

a/b=.a /2./.b /2.

12/1=r/1

a/1=a

12=r

Rearrange equation

r=12

Finally, by substituting r with 12 and h with 42 into the formula for the volume, we can solve for V. Let's do it!

V=π r^2 h

r= 12, h= 42

V=π 12^2 ( 42)

▼

Evaluate right-hand side

Calculate power

V=π 144(42)

Multiply

V=π (6048)

Use a calculator

V=19 000.35236891...

Round to 1 decimal place(s)

V≈ 19 000.4

The approximate volume of the given cylinder is 19 000.4 cubic meters.

Subchapter links

Vocabulary Check p.616

Skills Check and Problem Solving p.616