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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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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 20 cm.

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 20 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 20 in and base radius 15 cm as shown below

Thus we have h=20,r=15.

Substitute the known values in the formula,

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