Question

A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.

Round Volume answers to the nearest hundredth.

A) Find the volume of the cylinder. V=

B) Find the volume of the cone. V=

C) What fraction of the cylinder's volume is the cone's volume?

Answer 1

A. The volume of the cylinder is: 7389.03 in.³

B. The volume of the cone is: 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

What is the Volume of a Cone and a Cylinder?

• Volume of cone = 1/3πr²h
• Volume of cylinder = πr²h

A. Volume of the cylinder = πr²h = π(14²)(12) = 7389.03 in.³

B. Volume of the cone = 1/3πr²h = 1/3π(14²)(12) = 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

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