   Chapter 9.3, Problem 12E 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 height of a storage tank in the shape of a right circular cylinder that as a circumference measuring 6 π m and a volume measuring 81 π  m 3 .

To determine

To calculate:

The height of the storage tank.

Explanation

Given:

A storage tank is in the shape of a right circular cylinder that has a circumference measuring 6π m and a volume measuring 81π m3.

Formula used:

The circumference of the base is C=2πr.

The volume of the right circular cylinder is V=πr2h.

Calculation:

Let r be the radius and h be the altitude of the storage tank.

Given, C=6π m

6π=2πrr=6π2<

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