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McGraw Hill Integrated II, 2012 View details

5. Volumes of Pyramids and Cones

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Exercise 17 Page 845

Use the formula for the volume of a cone.

235.6in^3

Practice makes perfect

To calculate the volume of a cone, we can use the following formula. In this formula r is the radius, and h is the height of a cone. V= 13π r^2 hFrom the diagram, we know that the diameter of the cone's base is 10in. By dividing by 2, we get the radius of the base. r=10/2=5in. We are given that the height of the cone is 9in. Let's substitute these values into the above formula and calculate the volume.

V=1/3π r^2 h

SubstituteII

r= 5, h= 9

V=1/3π ( 5)^2 ( 9)

▼

Simplify right-hand side

CalcPow

Calculate power

V=1/3π(25)(9)

CommutativePropMult

Commutative Property of Multiplication

V=1/3(25)(9)π