the volume of a cylinder is 540n ft^3. the height is 15ft. what is the diameter of the cylinder?

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Have you tried anything so far?  Or lost on the setup?

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The problem specifies a volume.  That tells me a formula for volume is useful.  That gives us an equation with V=540pi,  height which is h=15, and the radius which is half the diameter.  If we found radius from volume formula plugging in all our information, it would be a factor of 2 away from the diameter we are looking for.

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This is the volume of a cylinder formula:
  $ V = \pi r^2 h $
Also the area of the circular base, times the height which it extends vertically from the base.