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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 9.3, Problem 35E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
BuyFindarrow_forward

Elementary Geometry for College St...

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 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 V = π h ( R + r ) ( R − r ) .

Chapter 9.3, Problem 35E, In Exercises 34 and 35, give a paragraph proof for each claim. The volume V of a washer that has an

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 V=πh(R+r)(R−r)”.

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 V=πh(R+r)(R−r)”.

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 V1=πr2h

The volume of the circular cylinder with radius R is V2=πR2h

Hence the volume of the washer is V=V2−V1

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Chapter 9.3,
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Chapter 9.3,
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