SOLUTION: A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 30 feet, but t

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Question 1203360: A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 30 feet, but the height is yet to be determined. Find the height h of the silo that will result in a capacity of 11,925π ft^3
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!

Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


The radius of the cylinder and hemisphere is 15 ft.

The volume of the hemisphere is



So the volume of the cylinder is






The height of the cylinder is 43 feet.

ANSWER: The height of the silo is 43+15 = 58 feet


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