McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Chapter 12.4, Problem 26WE
To determine

To show: The area of sphere is equals the lateral area of the cylinder.

Expert Solution & Answer
Check Mark

Answer to Problem 26WE

The area of the sphere is equals the lateral area of the cylinder.

Explanation of Solution

Given information:

A sphere is inscribed in a cylinder.

Calculation:

Since, the sphere with radius r is inscribed in the cylinder. Therefore,

Radius of the cylinder will be same as sphere that is r and height will be 2r.

The area of cylinder is given by

  A=2πrh where r is the radius of the cylinder and h is the height.

And, area of sphere is given by,

  A=4πr2........(1)

where r is the radius of the sphere.

Since, radius of the cylinder is r and height is h=2r .

Therefore, area of the cylinder is

  A=2πrhA=2πr(2r)A=4πr2........(1)

Thus, from equation (1) and (2) the area of the sphere is equals the lateral area of the cylinder.

Hence,

The area of the sphere is equals the lateral area of the cylinder.

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Chapter 12.4, Problem 25WE
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Chapter 12.4, Problem 27WE

Chapter 12 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 12.1 - Prob. 1CECh. 12.1 - Prob. 2CECh. 12.1 - Prob. 3CECh. 12.1 - Prob. 4CECh. 12.1 - Prob. 5CECh. 12.1 - Prob. 6CECh. 12.1 - Prob. 7CECh. 12.1 - Prob. 8CECh. 12.1 - Prob. 9CECh. 12.1 - Prob. 10CE
Ch. 12.1 - Prob. 1WECh. 12.1 - Prob. 2WECh. 12.1 - Prob. 3WECh. 12.1 - Prob. 4WECh. 12.1 - Prob. 5WECh. 12.1 - Prob. 6WECh. 12.1 - Prob. 7WECh. 12.1 - Prob. 8WECh. 12.1 - Prob. 9WECh. 12.1 - Prob. 10WECh. 12.1 - Prob. 11WECh. 12.1 - Prob. 12WECh. 12.1 - Prob. 13WECh. 12.1 - Prob. 14WECh. 12.1 - Prob. 15WECh. 12.1 - Prob. 16WECh. 12.1 - Prob. 17WECh. 12.1 - Prob. 18WECh. 12.1 - Prob. 19WECh. 12.1 - Prob. 20WECh. 12.1 - Prob. 21WECh. 12.1 - Prob. 22WECh. 12.1 - Prob. 23WECh. 12.1 - Prob. 24WECh. 12.1 - Prob. 25WECh. 12.1 - Prob. 26WECh. 12.1 - Prob. 27WECh. 12.1 - Prob. 28WECh. 12.1 - Prob. 29WECh. 12.1 - Prob. 30WECh. 12.1 - Prob. 31WECh. 12.1 - Prob. 32WECh. 12.1 - Prob. 33WECh. 12.1 - Prob. 34WECh. 12.1 - Prob. 35WECh. 12.1 - Prob. 36WECh. 12.1 - Prob. 37WECh. 12.1 - Prob. 38WECh. 12.1 - Prob. 39WECh. 12.1 - Prob. 40WECh. 12.1 - Prob. 1CCh. 12.1 - Prob. 2CCh. 12.1 - Prob. 3ECh. 12.2 - Prob. 1CECh. 12.2 - Prob. 2CECh. 12.2 - Prob. 3CECh. 12.2 - Prob. 4CECh. 12.2 - Prob. 5CECh. 12.2 - Prob. 6CECh. 12.2 - Prob. 7CECh. 12.2 - Prob. 8CECh. 12.2 - Prob. 9CECh. 12.2 - Prob. 10CECh. 12.2 - Prob. 11CECh. 12.2 - Prob. 12CECh. 12.2 - Prob. 13CECh. 12.2 - Prob. 14CECh. 12.2 - Prob. 15CECh. 12.2 - Prob. 16CECh. 12.2 - Prob. 17CECh. 12.2 - Prob. 18CECh. 12.2 - Prob. 1WECh. 12.2 - Prob. 2WECh. 12.2 - Prob. 3WECh. 12.2 - Prob. 4WECh. 12.2 - Prob. 5WECh. 12.2 - Prob. 6WECh. 12.2 - Prob. 7WECh. 12.2 - Prob. 8WECh. 12.2 - Prob. 9WECh. 12.2 - Prob. 10WECh. 12.2 - Prob. 11WECh. 12.2 - Prob. 12WECh. 12.2 - Prob. 13WECh. 12.2 - Prob. 14WECh. 12.2 - Prob. 15WECh. 12.2 - Prob. 16WECh. 12.2 - Prob. 17WECh. 12.2 - Prob. 18WECh. 12.2 - Prob. 19WECh. 12.2 - Prob. 20WECh. 12.2 - Prob. 21WECh. 12.2 - Prob. 22WECh. 12.2 - Prob. 23WECh. 12.2 - Prob. 24WECh. 12.2 - Prob. 25WECh. 12.2 - Prob. 26WECh. 12.2 - Prob. 27WECh. 12.2 - Prob. 28WECh. 12.2 - Prob. 29WECh. 12.2 - Prob. 30WECh. 12.2 - Prob. 31WECh. 12.2 - Prob. 32WECh. 12.2 - Prob. 1CCh. 12.2 - Prob. 2CCh. 12.2 - Prob. 3CCh. 12.2 - Prob. 4CCh. 12.2 - Prob. 1MRECh. 12.2 - Prob. 2MRECh. 12.2 - Prob. 3MRECh. 12.2 - Prob. 4MRECh. 12.2 - Prob. 5MRECh. 12.2 - Prob. 6MRECh. 12.2 - Prob. 7MRECh. 12.2 - Prob. 8MRECh. 12.2 - Prob. 9MRECh. 12.2 - Prob. 10MRECh. 12.3 - Prob. 1CECh. 12.3 - Prob. 2CECh. 12.3 - Prob. 3CECh. 12.3 - Prob. 4CECh. 12.3 - Prob. 5CECh. 12.3 - Prob. 6CECh. 12.3 - Prob. 7CECh. 12.3 - Prob. 8CECh. 12.3 - Prob. 1WECh. 12.3 - Prob. 2WECh. 12.3 - Prob. 3WECh. 12.3 - Prob. 4WECh. 12.3 - Prob. 5WECh. 12.3 - Prob. 6WECh. 12.3 - Prob. 7WECh. 12.3 - Prob. 8WECh. 12.3 - Prob. 9WECh. 12.3 - Prob. 10WECh. 12.3 - Prob. 11WECh. 12.3 - Prob. 12WECh. 12.3 - Prob. 13WECh. 12.3 - Prob. 14WECh. 12.3 - Prob. 15WECh. 12.3 - Prob. 16WECh. 12.3 - Prob. 17WECh. 12.3 - Prob. 18WECh. 12.3 - Prob. 19WECh. 12.3 - Prob. 20WECh. 12.3 - Prob. 21WECh. 12.3 - Prob. 22WECh. 12.3 - Prob. 23WECh. 12.3 - Prob. 24WECh. 12.3 - Prob. 25WECh. 12.3 - Prob. 26WECh. 12.3 - Prob. 27WECh. 12.3 - Prob. 28WECh. 12.3 - Prob. 29WECh. 12.3 - Prob. 30WECh. 12.3 - Prob. 31WECh. 12.3 - Prob. 32WECh. 12.3 - Prob. 33WECh. 12.3 - Prob. 34WECh. 12.3 - Prob. 35WECh. 12.3 - Prob. 36WECh. 12.3 - Prob. 37WECh. 12.3 - Prob. 38WECh. 12.3 - Prob. 39WECh. 12.3 - Prob. 40WECh. 12.3 - Prob. 1CCh. 12.3 - Prob. 1ST1Ch. 12.3 - Prob. 2ST1Ch. 12.3 - Prob. 3ST1Ch. 12.3 - Prob. 4ST1Ch. 12.3 - Prob. 5ST1Ch. 12.3 - Prob. 6ST1Ch. 12.3 - Prob. 7ST1Ch. 12.3 - Prob. 8ST1Ch. 12.3 - Prob. 1CKCh. 12.3 - Prob. 2CKCh. 12.3 - Prob. 3CKCh. 12.3 - Prob. 4CKCh. 12.4 - Prob. 1CECh. 12.4 - Prob. 2CECh. 12.4 - Prob. 3CECh. 12.4 - Prob. 4CECh. 12.4 - Prob. 5CECh. 12.4 - Prob. 6CECh. 12.4 - Prob. 7CECh. 12.4 - Prob. 8CECh. 12.4 - Prob. 9CECh. 12.4 - Prob. 1WECh. 12.4 - Prob. 2WECh. 12.4 - Prob. 3WECh. 12.4 - Prob. 4WECh. 12.4 - Prob. 5WECh. 12.4 - Prob. 6WECh. 12.4 - Prob. 7WECh. 12.4 - Prob. 8WECh. 12.4 - Prob. 9WECh. 12.4 - Prob. 10WECh. 12.4 - Prob. 11WECh. 12.4 - Prob. 12WECh. 12.4 - Prob. 13WECh. 12.4 - Prob. 14WECh. 12.4 - Prob. 15WECh. 12.4 - Prob. 16WECh. 12.4 - Prob. 17WECh. 12.4 - Prob. 18WECh. 12.4 - Prob. 19WECh. 12.4 - Prob. 20WECh. 12.4 - Prob. 21WECh. 12.4 - Prob. 22WECh. 12.4 - Prob. 23WECh. 12.4 - Prob. 24WECh. 12.4 - Prob. 25WECh. 12.4 - Prob. 26WECh. 12.4 - Prob. 27WECh. 12.4 - Prob. 28WECh. 12.4 - Prob. 29WECh. 12.4 - Prob. 30WECh. 12.4 - Prob. 31WECh. 12.4 - Prob. 32WECh. 12.4 - Prob. 33WECh. 12.4 - Prob. 34WECh. 12.4 - Prob. 1CCh. 12.4 - Prob. 1CKCh. 12.4 - Prob. 2CKCh. 12.4 - Prob. 3CKCh. 12.4 - Prob. 4CKCh. 12.4 - Prob. 1AECh. 12.4 - Prob. 2AECh. 12.4 - Prob. 1BECh. 12.4 - Prob. 2BECh. 12.4 - Prob. 3BECh. 12.4 - Prob. 1MRECh. 12.4 - Prob. 2MRECh. 12.4 - Prob. 3MRECh. 12.4 - Prob. 4MRECh. 12.4 - Prob. 5MRECh. 12.4 - Prob. 6MRECh. 12.5 - Prob. 1CECh. 12.5 - Prob. 2CECh. 12.5 - Prob. 3CECh. 12.5 - Prob. 4CECh. 12.5 - Prob. 5CECh. 12.5 - Prob. 6CECh. 12.5 - Prob. 7CECh. 12.5 - Prob. 8CECh. 12.5 - Prob. 9CECh. 12.5 - Prob. 10CECh. 12.5 - Prob. 11CECh. 12.5 - Prob. 12CECh. 12.5 - Prob. 13CECh. 12.5 - Prob. 1WECh. 12.5 - Prob. 2WECh. 12.5 - Prob. 3WECh. 12.5 - Prob. 4WECh. 12.5 - Prob. 5WECh. 12.5 - Prob. 6WECh. 12.5 - Prob. 7WECh. 12.5 - Prob. 8WECh. 12.5 - Prob. 9WECh. 12.5 - Prob. 10WECh. 12.5 - Prob. 11WECh. 12.5 - Prob. 12WECh. 12.5 - Prob. 13WECh. 12.5 - Prob. 14WECh. 12.5 - Prob. 15WECh. 12.5 - Prob. 16WECh. 12.5 - Prob. 17WECh. 12.5 - Prob. 18WECh. 12.5 - Prob. 19WECh. 12.5 - Prob. 20WECh. 12.5 - Prob. 21WECh. 12.5 - Prob. 22WECh. 12.5 - Prob. 23WECh. 12.5 - Prob. 24WECh. 12.5 - Prob. 25WECh. 12.5 - Prob. 26WECh. 12.5 - Prob. 27WECh. 12.5 - Prob. 28WECh. 12.5 - Prob. 29WECh. 12.5 - Prob. 1ST2Ch. 12.5 - Prob. 2ST2Ch. 12.5 - Prob. 3ST2Ch. 12.5 - Prob. 4ST2Ch. 12.5 - Prob. 5ST2Ch. 12.5 - Prob. 6ST2Ch. 12.5 - Prob. 1CKCh. 12.5 - Prob. 2CKCh. 12.5 - Prob. 3CKCh. 12.5 - Prob. 4CKCh. 12.5 - Prob. 5CKCh. 12.5 - Prob. 6CKCh. 12.5 - Prob. 1AECh. 12.5 - Prob. 2AECh. 12.5 - Prob. 1BECh. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Prob. 4ECh. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 1CRCh. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - Prob. 6CRCh. 12 - Prob. 7CRCh. 12 - Prob. 8CRCh. 12 - Prob. 9CRCh. 12 - Prob. 10CRCh. 12 - Prob. 11CRCh. 12 - Prob. 12CRCh. 12 - Prob. 13CRCh. 12 - Prob. 14CRCh. 12 - Prob. 15CRCh. 12 - Prob. 16CRCh. 12 - Prob. 17CRCh. 12 - Prob. 18CRCh. 12 - Prob. 19CRCh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Prob. 9CTCh. 12 - Prob. 10CTCh. 12 - Prob. 11CTCh. 12 - Prob. 12CTCh. 12 - Prob. 13CTCh. 12 - Prob. 14CTCh. 12 - Prob. 15CTCh. 12 - Prob. 16CTCh. 12 - Prob. 1CURCh. 12 - Prob. 2CURCh. 12 - Prob. 3CURCh. 12 - Prob. 4CURCh. 12 - Prob. 5CURCh. 12 - Prob. 6CURCh. 12 - Prob. 7CURCh. 12 - Prob. 8CURCh. 12 - Prob. 9CURCh. 12 - Prob. 10CURCh. 12 - Prob. 11CURCh. 12 - Prob. 12CURCh. 12 - Prob. 13CURCh. 12 - Prob. 14CURCh. 12 - Prob. 15CURCh. 12 - Prob. 16CURCh. 12 - Prob. 17CURCh. 12 - Prob. 18CURCh. 12 - Prob. 19CURCh. 12 - Prob. 20CUR

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