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Question:

How do you solve this volume math problem?

A grain silo consists of a cylinder with a hemiphere on top. Find the volume of a silo in which the cylindrical part is 52 feet tall and has a diameter of 22 feet.

Answer:

cylinder V = πr?h sphere V = ?/?πr? total volume = πr?h + (2/3)πr? V = π(11)?(52) + (2/3)π(11)? V = π(121)[52 + (2/3)(11)] V = π(121)[59.33] = 22600 cubic feet .

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