Explanation Given information : Radius of the circle is r = 12 cm Accuracy of radius measurement is 3%. Formula used: Accuracy of radius measurement is d r r % . Area of circle A= π r 2 Consider the area of circle with radius r . A = π r 2 Differentiate with respect to r . A = π ( 2 r d r ) d A = 2 π r d r Divide by A = π r 2

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

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A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is dr…

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Question

Chapter 3.8, Problem 23PS

To determine

To find: the accuracy in the area measurement.

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Chapter 3.8, Problem 22PS

Chapter 3.8, Problem 24PS

Chapter 3 Solutions

Calculus

Ch. 3.1 - Prob. 1PS Ch. 3.1 - Prob. 2PS Ch. 3.1 - Prob. 3PS Ch. 3.1 - Prob. 4PS Ch. 3.1 - Prob. 5PS Ch. 3.1 - Prob. 6PS Ch. 3.1 - Prob. 7PS Ch. 3.1 - Prob. 8PS Ch. 3.1 - Prob. 9PS Ch. 3.1 - Prob. 10PS

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the accuracy in the area measurement.

Solution Summary: The author explains that the accuracy in the area measurement is 6%.

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To find: the accuracy in the area measurement.

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Chapter 3 Solutions