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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 y = 4.

y = x,  y = 3,  x = 0

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:

Formula for volume of solid image

Where is outer radius and is inner radius.

The outer radius of revolution is .

The inner radius of revolution is .

Step 2:

Substitute , in image.

image.

Integrate between 0 and 3.

image

image

Apply power rule in integration .

image

The volume of solid is image cubic units.

Solution:

The volume of solid is cubic units.

answered Feb 14, 2015 by Sammi Mentor

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