Explanation Determine the values of the right- and left-endpoint approximations to the integral with N = 7 . Then average out the endpoints to estimate the volume capacity of the bowl. Given: The bowl given in the figure 14(A) is 21 cm high obtained by rotating the curve given in figure 14(B). The inner radii in centimeters starting from the top are 0 , 4 , 7 , 8 , 10 , 13 , 14 , 20 . Calculation: Using the values given for the inner radii and the values in the figure (B), which indicate the difference between inner and outer radius, we find that, R 7 = 3 π ( ( 23 2 − 14 2 ) + ( 25 2 − 13 2 ) + ( 26 2 − 10 2 ) + ( 27 2 − 8 2 ) + ( 28 2 − 7 2 ) + ( 29 2 − 4 2 ) + ( 30 2 − 0 2 ) ) = 3 π ( 4490 ) = 13470

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.3, Problem 53E

To determine

To estimate the volume capacity of the bowl shown by taking the average of right- and left-endpoint approximations to the integral with $N = 7$ and the given inner radii values.

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Chapter 6.3, Problem 52E

Chapter 6.3, Problem 54E

Chapter 6 Solutions

Calculus - Standalone book

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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To estimate the volume capacity of the bowl shown by taking the average of right- and left-endpoint approximations to the integral with N = 7 and the given inner radii values.

Solution Summary: The author calculates the volume capacity of the bowl by taking the average of right- and left-endpoint approximations to the integral with N = 7 and the given inner radii values.

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To estimate the volume capacity of the bowl shown by taking the average of right- and left-endpoint approximations to the integral with $N = 7$ and the given inner radii values.

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Chapter 6 Solutions

To estimate the volume capacity of the bowl shown by taking the average of right- and left-endpoint approximations to the integral with N = 7 and the given inner radii values.

Solution Summary: The author calculates the volume capacity of the bowl by taking the average of right- and left-endpoint approximations to the integral with N = 7 and the given inner radii values.

Concept explainers

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To estimate the volume capacity of the bowl shown by taking the average of right- and left-endpoint approximations to the integral with N=7 and the given inner radii values.

Want to see the full answer?

Chapter 6 Solutions

To estimate the volume capacity of the bowl shown by taking the average of right- and left-endpoint approximations to the integral with $N = 7$ and the given inner radii values.