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

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Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 5.

x = y^2,     x = 4
asked Feb 12, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The equations are and .

The volume of the solid generated revolving about the line .

Washer method:

Where is outer radius and is inner radius.

The outer radius of revolution is .

The inner radius of revolution is .

Substitute , in .

image.

Find the limits, by equating image.

image

image

image

Integral limits are image and image.

Step 2:

 

image

image

Apply power rule .

image

The volume of solid is image cubic units.

Solution:

The volume of solid is imagecubic units.

answered Feb 23, 2015 by Sammi Mentor

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