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 11,700π ft3.
(πr^2)*h+(2/3πr^3)=11,700π solve for h
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Here is correct response: Area of cylinder formula: π*r^2*h. 15^2*π*h = 11,700π - divide by 225*π h = 52
