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

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ISBN: 9781319050733

Author: Rogawski

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Question

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 (CLOTH)

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

Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Prob. 47E Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - 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Prob. 39CRE Ch. 6 - Prob. 40CRE Ch. 6 - Prob. 41CRE Ch. 6 - Prob. 42CRE Ch. 6 - Prob. 43CRE Ch. 6 - Prob. 44CRE Ch. 6 - Prob. 45CRE Ch. 6 - Prob. 46CRE Ch. 6 - Prob. 47CRE Ch. 6 - Prob. 48CRE Ch. 6 - Prob. 49CRE Ch. 6 - Prob. 50CRE Ch. 6 - Prob. 51CRE Ch. 6 - Prob. 52CRE Ch. 6 - Prob. 53CRE Ch. 6 - Prob. 54CRE

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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.

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.

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

Videos

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.