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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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BuyFindarrow_forward

Elementary Geometry For College St...

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

A rectangle has dimensions of 6 in. by 3 in. Find the exact volume of the solid of revolution formed when the rectangle is rotated about its 6 -in . side.

To determine

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

Explanation

Given:

A rectangle has dimensions of 6 in. by 3 in. A solid is formed when the rectangle is rotated about its 6-in. side.

Formula used:

The volume of the right circular cylinder is V=πr2h

Calculation:

When the rectangle is rotated about its 6-in side, a right circular cylinder is formed with altitude 6 in and base radius 3 in as shown below

Thus we have h=6,r=3.

Substitute the known values in the formula,

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