# Integral Volume Question

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• Mar 26th 2010, 03:39 AM
p75213
Integral Volume Question
The problem is as follows:

What is the volume of the solid of revolution obtained by rotating the region bounded by the curves
x = y 3 − y 4 and x = 0 about the line y = −2?

My question is why would it make any difference to the volume if the solid was revolved around y= -2 as opposed to y= 0 (or any other number for that matter)?
• Mar 26th 2010, 04:03 AM
p75213
Disregard this post. I have worked it out with the assistance of Paul's online calculus tutorial. Great graphics helped.
• Mar 26th 2010, 05:11 AM
skeeter
Quote:

Originally Posted by p75213
The problem is as follows:

What is the volume of the solid of revolution obtained by rotating the region bounded by the curves
x = y 3 − y 4 and x = 0 about the line y = −2?

My question is why would it make any difference to the volume if the solid was revolved around y= -2 as opposed to y= 0 (or any other number for that matter)?

because the location of the axis of rotation affects the radius of rotation, thereby changing the volume.