   Chapter 9.CR, Problem 22CR 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 of revolution that results when a rectangular region with dimensions of 6 cm and 8 cm is rotated about a side of length 8 cm.

To determine

To find:

The volume of the solid of revolution.

Explanation

Formula used:

Volume of right circular cylinder:

V=πr2h

Given:

The exact volume of the solid of revolution that results when a rectangular region with dimensions of 6 cm and 8 cm is rotated about a side of length 8 cm.

Calculation:

The solid of revolution that results when a rectangular region as shown in the figure,

The solid of revolution that results when a rectangular region, it is form a right circular cylinder.

So, we find the volume of the right circular cylinder,

The radius of the cylinder is r=6.

The height of the cylinder is h=8.

Substitute the values r=6,h=8 in above formula,

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