   Chapter 9.4, Problem 35E 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

The spherical storage tank described in Example 5 had a length of radius of 3ft. Because the tank needs to be painted, we need to find its surface area. Also determine the number of pints of rust-proofing paint needed to paint the tank if 1 pint covers approximately 40 f t 2 . Use your calculator.

To determine

To find:

The surface area and number of pints of paint required to paint a spherical storage tank.

Explanation

Approach:

A sphere is a three dimensional solid figure, which is made up of all the points in space, which lie at a common distance, called the radius and from a fixed point called the center of the sphere. The surface area of a sphere S=4πr2, where r is the radius of the sphere.

All solid bodies occupy space.

The measure of occupied space is called the volume of the object.

Volume of a sphere is V=43πr3.

Calculation:

Consider the spherical storage tank whose radius =3 ft.

Surface area of sphere S =4·π·r2.

S=4·3.14·32

S=113.04=113.1 ft2

Total number of pints of rust-proofing paint required

=Total surface are

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