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A cone has a volume of 96 'pi' cubic feet. if the radius is 6 feet, what is the height of the cone?

A.8
B.32 ​

1 Answer

3 votes

Answer:

height of the cone = 8 ft

Explanation:

A cone has a volume of 96π ft³. The radius of the cone is 6 ft. The height of the cone can be computed below .

The volume of a cone can be represented as follows

volume of a cone = 1/3πr²h

where

r = radius

h = height

volume of a cone = 1/3πr²h

volume = 96π ft³

r = 6 ft

h = ?

96π = 1/3 × π × 6² × h

96π = 1/3 × π × 36 × h

96π = 12πh

divide both sides by 12π

h = 96π/12π

h = 8 ft

height of the cone = 8 ft

User Maycow Moura
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