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Step-by-step Answer
PAGE: 375SET: ExercisesPROBLEM: 23
Please look in your text book for this problem Statement

The region is   about .

 is the line segment on axis, so the equation of  line is .

Use washer method to find the volume.

Method of washer:

The volume of the solid  is , where  is the cross sectional area of the solid .

Here the  region is rotated about the line .

Outer radius is the distance between  and .

Outer radius .

Inner radius is distance between the curve  and the line .

Inner radius .

Integral limits are  and .

Volume of the region by rotatating about  is,

.

Volume of the region  is .

Volume of the region is .



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