The horizontal cross-section of a beer keg 4 ft tall is circular and the sides 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 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

Cal I or Cal II?

anonymous · Answer

I guess it would be considered Cal II but I solved using cylindrical coordinates, but I want to solve it using the disk method.

anonymous · Answer

Parabolic solid around the y axis. Do only one half of keg.