Posted by Liz on Monday, February 4, 2013 at 3:43pm.
The curves intersect at (0,0) and (2,2)
v = ∫[0,2] π(R^2-r^2) dy
where R = √y and r = y/2
v = ∫[0,2] π(y-y^2/4) dy
= π(y^2/2 - y^3/12) [0,2]
= 4π/3
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