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

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Question 897721: A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top. 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 ft3.
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
The radius is half the diameter, so r=15 feet.

Let h = tallness of only the straight cylinder portion. The whole silo tallness will be . Your question is unclear, but you want a final result of either h or h+r.

Volume of the silo, .







feet, just the straight cylinder part.

The whole silo from top to bottom is feet.

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