Posted by Mark on Sunday, July 7, 2013 at 3:47pm.
Let R be the region bounded by y=−3(x−1)(x−3) and the xaxis. Let S be the solid obtained by rotating R about the yaxis. The volume of S is given by Nπ. What is the value of N?

Calculus  Steve, Sunday, July 7, 2013 at 3:59pm
v = ∫[1,3] 2πrh dx
where r = x and h = y = −3(x−1)(x−3) so
v = ∫[1,3] 2πx(−3(x−1)(x−3)) dx
= 6π ∫[1,3] x^3  4x^2 + 3x dx
= 16π
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