Question

A table has a wooden support that is in the approximate shape of a cone. The base of the cone has an area of about 201.1 square inches. If the volume of the cone is about 2,144.7 cubic inches, what is the height?

Answer choices:
A)
28 in.

B)
30 in.

C)
32 in.

D)
40 in.

Answer 1

The answer will be A) 28 in.

Answer 2

The height of a cone with a volume and base area of 2,144.7 cubic inches and 201.1 square inches respectively is 32 inches

How to find height of a cone using the volume formula?

volume of a cone = 1 / 3 πr²h

where

• r = radius
• h = height

Therefore,

volume of the cone =  2,144.7 cubic inches

Base area = 201.1 square inches.

πr² = Base area

Therefore,

2144.7  = 1 / 3 × 201.1  × h

6434.1 = 201.1 h

h = 6434.1 / 201.1

h = 31.9945300845

h = 32 inches

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