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The volume of a cone is given by V = ?r2h/3, where is the

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 2E Chapter 3.4

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 2E

The volume of a cone is given by V = πr2h/3, where is the radius of the base and h is the height Assume the height is measured to be h = 6.00 ± 0.01 cm and the radius is r = 5.00 ± 0.02 cm.

a. Estimate the volume of the cone, and find the uncertainty in the estimate.

b. Which would provide a greater reduction in the uncertainty in V: reducing the uncertainty in r to 0.005 cm or reducing the uncertainty in r to 0.01 cm?

Step-by-Step Solution:

Step 1 of 4</p>

Volume of the cone given by V=

The height is measured to be h=6.000.01 cm

From this h=6,

The radius is measured to be r=5.000.02 cm

From this r=5,

Step 2 of 4</p>

Now V=

            =(

            =157.08

Now differentiate V with respect to r and h

       =(1.0472)(2)(5)(6)

       =62.832

       =(1.0472)(25)

       =26.18

Step 3 of 4

Chapter 3.4, Problem 2E is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Since the solution to 2E from 3.4 chapter was answered, more than 255 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 2E from chapter: 3.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “The volume of a cone is given by V = ?r2h/3, where is the radius of the base and h is the height Assume the height is measured to be h = 6.00 ± 0.01 cm and the radius is r = 5.00 ± 0.02 cm.a. Estimate the volume of the cone, and find the uncertainty in the estimate.________________b. Which would provide a greater reduction in the uncertainty in V: reducing the uncertainty in r to 0.005 cm or reducing the uncertainty in r to 0.01 cm?” is broken down into a number of easy to follow steps, and 87 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: uncertainty, estimate, cone, Volume, reducing. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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