Chapter 9.4, Problem 49E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Explain how the following formula used in Example 6 was obtained:

To determine

**To find:**

The explanation for the formula

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*=*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 *=

Concentric spheres have the same center but different radii.

**Calculation:**

Consider a hollow plastic ball, where the inside diameter of the ball and the thickness of the ball is given. To calculate the volume of material needed to construct the ball, we will use the concept of concentric spheres.

The difference in the volume of the outside sphere and the inside sphere gives us the volume of the material needed to construct the ball

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