Posted by john on Sunday, January 31, 2010 at 5:40pm.
Find the volume of the solid formed by revolving the region bounded by the graphs of y=4x^2 and y=16 about the xaxis. (Washer Volume)

Calculus  Damon, Sunday, January 31, 2010 at 6:13pm
integral from y = 0 to y = 16 (origin to x = 2)
find volume of outer cylinder of radius 16
Vol  pi r^2 h = pi (16^2) (2)
find volume generated by inner curve between x axis and y = 4 x^2
Vinner = pi y^2 dx from 0 to 2
= pi 16 * integral x^4 dx
= 16 pi (32/5)
then subtract the inner from the outer
2 pi (16^2)  16 pi (32/5)
= 32 pi *16  32 pi *16/5
= 32 pi (4/5) (16)

Calculus  Damon, Sunday, January 31, 2010 at 6:30pm
Oh, double that to include the left side.
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