SOLUTION: Two designs for an oil storage tank are being considered: spherical and cylindrical. The two tanks would have the same capacity and would each have an inside diameter of 30 feet. W

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Question 301648: Two designs for an oil storage tank are being considered: spherical and cylindrical. The two tanks would have the same capacity and would each have an inside diameter of 30 feet. What would be the height of the cylindrical tank?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two designs for an oil storage tank are being considered: spherical and cylindrical.
The two tanks would have the same capacity and would each have an inside diameter of 30 feet. What would be the height of the cylindrical tank?
:
radius of both tanks = 15 ft
:
let h = the height of the cylinder
:
Cylinder vol = Sphere vol
pi%2Ar%5E2%2Ah+=+%284%2F3%29%2Api%2Ar%5E3
divide both sides by pi%2Ar%5E2, resulting in a simple equation:
h = 4%2F3r
h = 4%2F3*15
h = 20 ft is the height