The Volume of a Cylinder Whose Height Is Equal to Twice

question 253

Multiple Choice

The volume of a cylinder whose height is equal to twice its radius is $\mathrm { f } ( \mathrm { x } ) = 2 \pi \mathrm { x } ^ { 3 } \mathrm {~cm} ^ { 3 }$ , where x is the radius of the cylinder in cm . Find the inverse of this function.

• A) \(f ^ { - 1 } ( x ) = 2 \pi \sqrt [ 3 ] { x }\)
• B) \(f ^ { - 1 } ( x ) = \frac { 1 } { 2 \pi x ^ { 3 } }\)
• C) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { \frac { x } { 2 \pi } }\)
• D) \(f ^ { - 1 } ( x ) = \frac { \sqrt [ 3 ] { x } } { 2 \pi }\)