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Pearson Geometry Common Core, 2011 View details

5. Volumes of Pyramids and Cones

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Exercise 19 Page 730

Use the formula for the volume of a cone.

Exact Solution: 4πm^3
Approximate Solution: 13m^3

Practice makes perfect

The given solid is a cone.

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. We are given that the height of the cone is 3m and the radius of the base is 2m. Let's substitute these values into the above formula and calculate the volume.

V=1/3π r^2 h

SubstituteII

r= 2, h= 3

V=1/3π ( 2)^2 ( 3)

▼

Simplify right-hand side

CalcPow

Calculate power

V=1/3π(4)(3)

Multiply

V=1/3π(12)

CommutativePropMult