Solve the Problem $V ( h ) = 4100 \pi ( h - 10 ) + \frac { 500 } { 7 } \pi$

question 137

Multiple Choice

Solve the problem.
-A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the radius of the hemisphere is 10 feet and the height of the silo is h feet, express the volume of the silo as a function of h.

• A) \(V ( h ) = 4100 \pi ( h - 10 ) + \frac { 500 } { 7 } \pi\)
• B) \(V ( h ) = 100 \pi h + \frac { 4000 } { 3 } \pi h ^ { 2 }\)
• C) \(V ( h ) = 100 \pi \left( h ^ { 2 } - 10 \right) + \frac { 5000 } { 3 } \pi\)
• D) \(V ( h ) = 100 \pi ( h - 10 ) + \frac { 2000 } { 3 } \pi\)

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