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Solve the Problem V(r)=π(118r)+43πr2V ( r ) = \pi ( 118 - r ) + \frac { 4 } { 3 } \pi r ^ { 2 }

Question 245

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) =π(118r) +43πr2V ( r ) = \pi ( 118 - r ) + \frac { 4 } { 3 } \pi r ^ { 2 }
B) V(r) =118πr2+83πr3V ( r ) = 118 \pi r ^ { 2 } + \frac { 8 } { 3 } \pi r ^ { 3 }
C) V(r) =π(118r) r3+43πr2V ( r ) = \pi ( 118 - r ) r ^ { 3 } + \frac { 4 } { 3 } \pi r ^ { 2 }
D) V(r) =π(118r) r2+23πr3V ( r ) = \pi ( 118 - r ) r ^ { 2 } + \frac { 2 } { 3 } \pi r ^ { 3 }

Correct Answer:

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