A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. What is the volume of the grain silo, in cubic feet?
- he/him
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in reply to @scatsmanul's post:
A cone is 1/3 of a cylinder of the same height. If we have two cones of 5ft in height, it should be equivalent to a single cone of 10ft in height. And if we have that with a cylinder of 10 ft in height... Then it's 4/3s of a 10 foot cylinder! And a cylinder is height times the area of the circle, which is πr^2. In this case, the radius is 5, so that's 25π. Times the height, 10, for 250, times 4/3s for our cylinder and cone-combo, or 333 1/3 cubic feet!
Of course, you're probably not filling the top cone, but I'd have to break my calculation back up in order to figure that out, and math turns cows into spheres anyway.