Exercise 21 Page 845

To calculate the volume of an oblique cone, we can use the following formula. In this formula r is the radius and h is the altitude of a cone. V= 13π r^2 hWe are given that the diameter of the cone's base is 16inches. By dividing by 2, we get the radius of the base. r=16/2=8inches We are also given that the altitude of the cone is 16 in. Let's substitute these values into the above formula and calculate the volume.

V=1/3π r^2 h

SubstituteII

r= 8, h= 16

V=1/3π ( 8)^2 ( 16)

▼

Simplify right-hand side

CalcPow

Calculate power

V=1/3π(64)(16)

CommutativePropMult

Commutative Property of Multiplication

V=1/3(64)(16)π

Multiply

Multiply

V=1024/3π

UseCalc

Use a calculator

V=1072.3302...

RoundDec

Round to 1 decimal place(s)

V≈ 1072.3

The volume of the cone is approximately 1072.3in^3.