   Chapter 9.3, Problem 42E 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 tank in Exercises 41 needs to be painted and 1 pint of paint covers 50  ft 2 , how many pints are needed to paint the exterior of the storage tank?A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gallon of gasoline, what is the total storage capacity of the tank measured in gallons?

To determine

To calculate:

The total number of pints needed to paint the exterior of the storage tank.

Explanation

Given:

A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. The tank needs to be painted and 1 pt of paint covers 50 ft2.

Formula used:

The total area of the circular cylinder is T=2πrh+2πr2.

Calculation:

Let r be the radius of the base and h be the height of the circular cylinder.

We have r=2,h=5

Substitute, the values in T=2πrh+2πr2

T=2πrh+2πr2=2π(2

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