Home > categories > Machinery & Equipment > Silos > math word problem(please help)?
Question:

math word problem(please help)?

constructing a silo-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 30ft, but the height is yet to be determined. find the height (h) of the silo that will result in a capacity of 11,250(pie)ft^3

Answer:

V = πr^2h + 2/3 πr^3 11250π = π(15^2)h + 2/3 π (15^3) 11250π = 225πh + 2250π 9000 = 225h 40 = h The height of the silo should be 40 ft.

Share to: