   Chapter 9.3, Problem 9E 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

If the exact volume of a right circular cylinder is 200 π  cm 3 and its altitude measures 8 cm, what is the measure of the radius of the circular base?

To determine

To calculate:

The measure of the radius of the circular base.

Explanation

Given:

The exact volume of a right circular cylinder is 200π cm3 and its altitude measures 8 cm.

Formula used:

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

Calculation:

Given, V=200π cm3,h=8 cm

Substitute the known values in the formula,

V=πr2h200π=πr2(8)200π=8πr2r2=200π8π=25r=25r=5 cm

Let us assume the proportionality p between the weight and volume

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