Solve the Problem $V ( r ) = \pi ( 118 - r ) + \frac { 4 } { 3 } \pi r ^ { 2 }$

question 133

Multiple Choice

Solve the problem.
-A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 118 feet and the radius of the hemisphere is r feet, express the volume of the silo as a function of r.

• A) \(V ( r ) = \pi ( 118 - r ) + \frac { 4 } { 3 } \pi r ^ { 2 }\)
• B) \(V ( r ) = 118 \pi r ^ { 2 } + \frac { 8 } { 3 } \pi r ^ { 3 }\)
• C) \(V ( r ) = \pi ( 118 - r ) r ^ { 3 } + \frac { 4 } { 3 } \pi r ^ { 2 }\)
• D) \(V ( r ) = \pi ( 118 - r ) r ^ { 2 } + \frac { 2 } { 3 } \pi r ^ { 3 }\)

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