The horizontal cross-section of a beer keg 4 ft tall is circular and the sides of the keg are parabolic. The diameter of the top and bottom is 2 ft and the diameter in the middle is 3 ft. Find the volume of the keg.

Question

The horizontal cross-section of a beer keg 4 ft tall is circular and the sides of the keg are parabolic.  The diameter of the top and bottom is 2 ft and the diameter in the middle is 3 ft.  Find the volume of the keg.

anonymous · Answer

9ft

anonymous · Answer

don't think so

anonymous · Answer

what did u integrate

anonymous · Answer

so u have a 4ft tall sides. the diamter of the top and bottom is 2ft and the diamter is 3. Therefore if u add them all it's 9 BAM!

anonymous · Answer

it's not that easy this is a calc 2 question

anonymous · Answer

:/

anonymous · Answer

this is what i think would be what you're going to work with.

anonymous · Answer

damn how long did it take u to draw that thing lol

anonymous · Answer

i was thinking which one is the best way to solve it. with respect of x or y?

anonymous · Answer

doesn't say I'm lost on this one.

anonymous · Answer

by finding the curve function, you can integrate it and get the volume.