   Chapter 10.1, Problem 40E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Find the exact volume of the solid that results when the region bounded in quadrant I by the axes and the lines x = 9 and y = 5 revolved about the a) x -axis b) y -axis

(a)

To determine

To find:

The exact volume of solid when the region bounded in Quadrant I by the axes and the lines x=9 and y=5 is revolved about the x-axis.

Explanation

The graph of x=9 and y=5 is drawn and 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

(b)

To determine

To find:

The exact volume of solid when the region bounded in Quadrant I by the axes and the lines x=9 and y=5 is revolved about the y-axis.

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