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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Find the exact volume of the solid that results when the rectangular region with vertices at 0, 0 , 6, 0 , 6, 4 and 0, 4 is revolved about the

a) x -axis b) y -axis

To determine

(a)

To find:

The exact volume of solid that results when the rectangular region with vertices 0, 0, 6, 0, 6, 4, and 0, 4 is revolved about the x-axis.

Explanation

A rectangle is drawn with the vertices 0, 0, 6, 0, 6, 4, and 0, 4

Then, it is revolved about x-axis.

The resulting solid is a cylinder.

We have to find the volume of the cylinder.

Volume of the cylinder is given by the formula.

V=πr2h

Substituting the radius and height

To determine

(b)

To find:

The exact volume of solid that results when the rectangular region with vertices 0, 0, 6, 0, 6, 4, and 0, 4 is revolved about the y-axis.

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