   Chapter 9.3, Problem 27E 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

A triangle has sides that measure 15 cm, 20 cm, and 25 cm. Find the exact volume of the solid of revolution formed when the triangle is revolved about the side of length 15 cm.(HINT: The triangle is a right triangle.)

To determine

To find: The exact volume of the solid of revolution formed when the triangle is rotated.

Explanation

Given:

A triangle has sides that measure 15 cm, 20 cm, and 25 cm. A solid is formed when the triangle is revolved about the side of length 15 cm.

Formula used:

The volume of the right circular cone is V=13πr2h

Calculation:

When the triangle is rotated about its 15-cm side, a right circular cone is formed with altitude 15 in and base radius 20 cm as shown below

Thus we have h=15,r=20.

Substitute the known values in the formula,

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