Homework Help: Calculus [Finding volume of solid]

Posted by Ali on Friday, November 30, 2012 at 6:33pm.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y=x^2
y=0
x=3
about the y-axis

Calculus [Finding volume of solid] - Reiny, Friday, November 30, 2012 at 6:47pm
make a sketch
this one is easier than the others you posted

volume about the y-axis
= π∫x^2 dy

= π∫y dy from y = 0 to 9
= π [ (1/2)y^2 ] from 0 to 9
= π (81/2 - 0)
= 81π/2

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