SOLUTION: 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 t
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Question 768572: 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 13,725π ft3. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! there are two parts
hemisphere & cylinder
volume of hemisphere = (2/3) pir^3
=2250 pi cu.ft
Volume of cylindrical ortion = 13725pi -2250pi
= 11475 pi
Volume of cylinder = pi * r^2 *h
11475 pi = pi *15^2*h
h= 11475 pi/(15^2 * pi)
h = 51 feet
