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Question:

Need help finding the diameter of a silo?

I have the height of the right circular cylinder (6.0ft) and the total over all height with both the cylinder and the right circular cone is 10ft. The silo has a capacity of 144 cubic feet. Need to find the diameter.

Answer:

So the cone height is 4 feet = 10 feet over all - cylinder height cone volume = (pi/3)*(radius)^2* 4feet height cylinder volume = pi*(radius)^2 * 6 feet height 144 cu ft = sum of above, solve for radius, i get radius = sqrt[144/pi * (3/22)] the diameter is twice the radius. Please check any errors I may have made.

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