Math (Calculus)
posted by Sherman
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the yaxis. (Use Disc Method)
y=3(2x), y=0, x=0

Reiny
yintercept is 6
y = 63x
3x = y + 6
x = y/3 + 2
x^2= y^2/9  4y/3 + 4
vol = π[integral] y^2/9  4y/3 + 4 dy from 0 to 6
= π[ y^3/27  2y^2/3 + 4y] from 0 to 6
= π( 8  24 + 24  (0) )
= 8π
better check my arithmetic
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