   Chapter 9.CR, Problem 21CR 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 volume of the solid of revolution that results when a right triangle with legs of lengths 5 in. and 7in. is rotated about the 7in.leg. Use π ≈ 22 7 .

To determine

To find:

The volume of the solid of revolution.

Explanation

Formula used:

Volume of right circular cone:

V=13πr2h

Given:

The volume of the solid of revolution. that results when a right triangle with legs of lengths 5 in. and 7 in. is rotated about the 7 in.leg. Use π=227.

Calculation:

The solid of revolution. that results when a right triangle as shown in the figure,

The solid of revolution that results when a right triangle, it is form a right circular cone.

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

The radius of the cone is r=5 in.

The height of the cylinder is h=7 in.

Substitute the values r=5,h=7 and π=227 in above formula,

V=13227527=132225V=

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