Use cylindrical shells to find the volume of the solid generated when the region is enclosed by the given curves is revolved about the x-axis.

y^2=x, y=1, x=0

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- June 20th 2007, 01:48 AMTAHIRMth101 Questio No1
Use cylindrical shells to find the volume of the solid generated when the region is enclosed by the given curves is revolved about the x-axis.

y^2=x, y=1, x=0 - June 20th 2007, 09:36 AMcurvature
- June 20th 2007, 09:39 AMcurvature
- June 20th 2007, 12:04 PMearboth
Hello,

I've used curvature's diagram to show you where you can find those cylindrical shells: see attachment.

One shell is calculated by:

Substitute into this equation and you'll get:

Now sum up all shells between the given bounds and you get the volume of the solid: