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Glencoe Math: Course 3, Volume 2 View details

2. Volume of Cones

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Exercise 23 Page 603

Use the formula for the volume of a cone.

Approximately 15in.

Practice makes perfect

Consider the given cone. Its height is 8 inches and the volume is 471.24 cubic inches.

To find the diameter we want to find the radius first. 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 inches. The volume is 471.24 cubic inches. Let's substitute these values into the formula and solve for the radius r.

V=1/3π r^2 h

SubstituteII

V= 471.24, h= 8

471.24=1/3π r^2 ( 8)

▼

Solve for r

CommutativePropMult

Commutative Property of Multiplication

471.24 = 1/3 (8)π r^2

MultEqn

LHS * 3=RHS* 3

1413.72 = 8π r^2