   Chapter 9.4, Problem 14E 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 approximate surface area and volume of the sphere if OP = 6 in. Use your calculator. Exercises 13, 14

To determine

To find:

The approximate surface area and volume of the sphere.

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, 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=V=43πr3.

Calculation:

Consider the sphere O.

We have OP= r=6 in.

Surface area of sphere S =4·π·r2

4·π·r24·3

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