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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

1. Volume of Cylinders

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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 $8 inches$ 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 = \frac{d}{2}

$d = 8$

r = \frac{8}{2}

Calculate quotient

r = 4

Now, we can substitute them into the formula and calculate

V .

V = π r^{2} h

$r = 4$ , $h = 8$

V = π (4)^{2} (8)

▼

Simplify right-hand side

Calculate power

V = π (16) (8)

Multiply

V = π (128)

Use a calculator

V = 402.123860 \dots

Round to $1$ decimal place(s)

V \approx 402.1

The volume of the given cylinder is about

402.1

cubic inches.

Subchapter links

Guided Practice p.592

Independent Practice p.593-594

H.O.T. Problems p.594

Standardized Test Practice p.594-596

Extra Practice p.595

Common Core Review p.596