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Question

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.

Answer 1

v = (4/3) * pi *10^3 /2

+ pi*10^2 * h

= pi*10^2  * (h + 20/3)

= 100pi *  (h + 20/3)