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Pearson Geometry Common Core, 2011 View details

6. Surface Areas and Volumes of Spheres

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Exercise 67 Page 740

Use the formula for the volume of a cone.

19 396 mm^3

Practice makes perfect

The given solid is a cone and we want to calculate its volume.

To calculate the volume of a cone, we can use the following formula. V= 13π r^2 h Here, r is the radius and h is the height of the cone. From the diagram we see that the height of the cone is 42mm and the radius of the base is 21mm. Let's substitute these values into the above formula and calculate the volume.

V=1/3π r^2 h

SubstituteII

r= 21, h= 42

V=1/3π ( 21)^2 ( 42)

▼

Simplify right-hand side

CalcPow

Calculate power

V=1/3π(441)(42)

Multiply

V=1/3π(18 522)

CommutativePropMult