Question

A solid has, as its base, the circular region in the xy-plane bounded by the graph of x2 + y2 = 4. Find the volume of the solid if every cross section by a plane perpendicular to the x-axis is a quarter circle with one of its radii in the base.

Answer 1

8pi/3
128/5 pi
64/3 pi
32pi/3
32/5 pi

Answer 2

@freckles

Answer 3

@TheSmartOne

Answer 4

@tkhunny

Answer 5

32pi/3 - Took a lot of time, but its the right one. "After a lot of thinking, I figured that the solid of revolution was a hemisphere. It was created by rotating the quarter circle in the first quadrant around the y-axis perhaps. This resulted in a volume of (32/3)pi. "