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

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
reshown Feb 16, 2015 by goushi

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1 Answer

Step 1:

The equations are and .

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

Disk method:

The outer radius of revolution is .

Substitute in .

Integrate between 0 and 4.

Apply formula .

The volume of solid is cubic units.

Solution:

The volume of solid is cubic units.

answered Feb 17, 2015 by Sammi Mentor

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