Question

The base of a solid S is the simicircular region enclosed by the graph of y = the sqrt of [4-x^2] and the x-axis. If the cross sections of S perpendicular to the x-axis are squares, the the volume of S is...?

I've worked this out a few ways using what I know abt finding the area under a curve, but this problem is multiple choice and I don't come up with any of these:

a) 32pi/3
b)16pi/3
c)40/3
d)32/3
e)16/3

Show your work. I think you are in error.

14/c squared *c small 5/2c

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