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
Question
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Chapter 12.5, Problem 3WE

(a)

To determine

To find:The ratio of the heights of two cylinders.

(a)

Expert Solution
Check Mark

Answer to Problem 3WE

The ratio of the heights of two cylinders is 3:4 .

Explanation of Solution

Given information:Two similar cylinders have radii 3 and 4 .

Calculation:

As given both the cylinders are similar. So, the scale factor is equal to the ratio of the radii of the two cylinders.

The ratio of the radii of two cylinders is 3:4 . So, the ratio of heights of cylinder is equal to the ratio of the radii of two cylinders as both the cylinder are similar.

Therefore, the ratio of the heights of two cylinders is 3:4 .

(b)

To determine

To find:The ratio of the base circumferences of two cylinders.

(b)

Expert Solution
Check Mark

Answer to Problem 3WE

The ratio of the base circumferences of two cylinders is 3:4 .

Explanation of Solution

Given information:

Two similar cylinders have radii 3 and 4 .

Calculation:

As given both the cylinders are similar. So, the scale factor is equal to the ratio of the radii of the two cylinders.

The ratio of the radii of two cylinders is 3:4 . So, the ratio of base circumferences of cylinder is equal to the ratio of the radii of two cylinders as both the cylinder are similar.

Therefore, the ratio of the base circumferences of two cylinders is 3:4 .

(c)

To determine

To find:The ratio of the lateral areas of two cylinders.

(c)

Expert Solution
Check Mark

Answer to Problem 3WE

The ratio of the lateral areas of two cylinders is 9:16 .

Explanation of Solution

Given information:Two similar cylinders have radii 3 and 4 .

Calculation:

As given both the cylinders are similar. So, the scale factor is equal to the ratio of the radii of the two cylinders.

The ratio of the radii of two cylinders is 3:4 .

So, the ratio of lateral areas of two cylinders is:

  32:42=9:16

Therefore, the ratio of the lateral areas of two cylinders is 9:16 .

(d)

To determine

To find:The ratio of the volumes of two cylinders.

(d)

Expert Solution
Check Mark

Answer to Problem 3WE

The ratio of the volumes of two cylinders is equal to 27:64 .

Explanation of Solution

Given information:Two similar cylinders have radii 3 and 4 .

Calculation:

As given both the cylinders are similar. So, the scale factor is equal to the ratio of the radii of the two cylinders.

The ratio of the radii of two cylinders is equal to 3:4 .So, the ratio of volumes of two cylinders is:

  33:43=27:64

Therefore, the ratio of the volumes of two cylinders is equal to 27:64 .

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Chapter 12.5, Problem 2WE
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Chapter 12.5, Problem 4WE

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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