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Glencoe Math: Course 3, Volume 2 View details

2. Volume of Cones

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Exercise 3 Page 601

Use the formula for the volume of a cone.

26.9 ft^3

Practice makes perfect

We are given a cone has height of 8.4 feet and diameter of the base is 3.5 feet. 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 are given that the height of the cone is 8.4 feet. To find r we can divide the diameter d by 2.

r = d/2

Substitute

d= 3.5

r = 3.5/2

CalcQuot

Calculate quotient

r = 1.75

The radius of the base is 1.75 feet. Let's substitute these values into the formula and calculate the volume.

V=1/3π r^2 h

SubstituteII

r= 1.75, h= 8.4

V=1/3π ( 1.75)^2 ( 8.4)