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Find the volume of the solid generated by revolving the region bounded by the graphs of the equations

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Find the volume of the solid generated by revolving the region bounded by the graphs of the equations  about the x - axis.

asked Feb 16, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The equations are image and image.

The volume of the solid generated revolving about the - axis.

Washer method:

image

The outer radius of revolution is image.
 

The inner radius of revolution is image.

Substitute image and image in image.

image

image

Integrate between 1 and 3.

image

image

Apply formula image.

image

The volume of solid is image cubic units.

Solution:

The volume of solid is imagecubic units.

answered Feb 19, 2015 by Sammi Mentor

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