Exercise 2 Page 592

Recall the formula for the volume of a cylinder, V = π r^2 h.

About 402.1 in.^3

Practice makes perfect

A cylinder has a diameter and a height of 8inches each. Let's start by drawing it.

The volume of a cylinder with the radius r and height h can be calculated by the following formula. V=π r^2 h Since the diameter d is 8, we can find the radius by dividing the diameter by 2.

r = d/2

Substitute

d= 8

r = 8/2

CalcQuot

Calculate quotient

r = 4

Now, we can substitute them into the formula and calculate V.

V=π r^2 h

SubstituteII

r= 4, h= 8

V=π ( 4)^2 ( 8)

▼

Simplify right-hand side

CalcPow

Calculate power

V=π( 16)( 8)

Multiply

V= π(128)

UseCalc

Use a calculator

V=402.123860...

RoundDec

Round to 1 decimal place(s)

V≈ 402.1

The volume of the given cylinder is about 402.1 cubic inches.

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