Chapter 9.3, Problem 35E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 34 and 35, give a paragraph proof for each claim.*

The volume

To determine

**To give:**

The paragraph proof for the claim “The volume *V *of a washer that has an inside radius of length *r*, an outside radius of length *R*, and an altitude of measure *h *is given by

Explanation

**Given:**

The claim is “The volume *V *of a washer that has an inside radius of length *r*, an outside radius of length *R*, and an altitude of measure *h *is given by

**Proof:**

Consider a circular cylinder.

Let *r *be the inside radius, *R* be the outside radius and *h* be the altitude of the circular cylinder.

The volume of the circular cylinder with radius *r* is

The volume of the circular cylinder with radius *R* is

Hence the volume of the washer is

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