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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.

0 votes

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

asked Feb 12, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The equations are and .

Washer method:

The volume of the solid is image.

Disk 1: between .

So, take and over interval .

image

Disk 2: between .

So, take and over interval .

image

Step 2:

The volume of the region is image.

image

image

image

image

image

image

Apply power rule in integration image.

image

image

image

image

image

image

The volume of the region is image cubic units.

Solution:

The volume of the region is image cubic units.

answered Feb 16, 2015 by Sammi Mentor
edited Feb 16, 2015 by Sammi

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