Chapter 9.4, Problem 37E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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A leather soccer ball has an inside diameter length of 8.5 in. and thickness of 0.1 in. Find the volume of leather needed for its construction. Use your calculator.

To determine

**To find:**

The volume of the leather needed to construct a soccer ball.

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 *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

**Calculation:**

Consider a leather soccer ball.

The inside diameter of the soccer ball

The volume of leather needed to construct the soccer ball is the difference between the outside volume and the inside volume of the ball.

Let *r* denotes the length of the inside radius, (*r*)

Let *R* denotes the length of the outside radius,

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