Exercise 10 Page 595

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

About 2262.0 mm^3

Practice makes perfect

A cylinder has a diameter of 24 milimeters and a height of 5 milimeters. 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 We are given that the diameter d is 24. To find the radius we can divide d by 2.

r = d/2

Substitute

d= 24

r = 24/2

CalcQuot

Calculate quotient

r = 12

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

V=π r^2 h

SubstituteII

r= 12, h= 5

V=π ( 12)^2 ( 5)

▼

Simplify right-hand side

CalcPow

Calculate power

V=π( 144)( 5)

Multiply

V= π (720)

UseCalc

Use a calculator

V= 2261.946 711...

RoundDec

Round to 1 decimal place(s)

V≈ 2262.0

The volume of the given cylinder is about 2262.0 cubic milimeters.

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