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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

2. Volume of Cones

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Exercise 19 Page 603

Use the formula for the volume of a cone.

Approximately 402.1cm^3

Practice makes perfect

We are told that a cone has a height of 24 centimeters and a base whose diameter is 8 centimeters. Let's start by drawing it.

To find the volume, we can use the formula for the volume of a cone. V= 13π r^2 h Here, r is the radius and h is the height of the cone. We already know that the height of the cone is 24 centimeters. To find r we can divide the diameter d by 2.

r = d/2

d= 8

r = 8/2

Calculate quotient

r = 4

The radius of the base is 4 centimeters. Let's substitute these values into the formula and calculate the volume.

V=1/3π r^2 h

r= 4, h= 24

V=1/3π ( 4)^2 ( 24)

▼

Evaluate right-hand side

Calculate power

V=1/3π(16)(24)

Multiply

V=1/3π(384)

CommutativePropMult

Commutative Property of Multiplication

V=1/3(384)π

MoveRightFacToNumOne

1/b* a = a/b

V=384/3π

Calculate quotient

V=128π

Use a calculator

V=402.123859...

Round to 1 decimal place(s)

V≈ 402.1

The volume of the cone is about 402.1 cubic centimeters.

Subchapter links

Guided Practice p.600

Independent Practice p.601-602

H.O.T. Problems p.602

Standardized Test Practice p.602-604

Extra Practice p.603

Common Core Review p.604