Explanation Given: The curves is y = sin x , with the interval [ 0 , π ] . Formula used: The volume of the solid is V = ∫ a b π ( f ( x ) 2 ) d x . Calculation: Let the function y = f ( x ) . Obtain the volume of curve is calculated as follows, V = ∫ 0 π π sin 2 x d x = π 2 ∫ 0 π ( 1 − cos 2 x ) d x = π 2 ∫ 0 π d x

Calculus, Single Variable: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134766850

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Chapter 8.3, Problem 64E

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To find: The volume of the solid when the region R is revolved about the x axis.

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Chapter 8.3, Problem 63E

Chapter 8.3, Problem 65E

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Chapter 8 Solutions

Calculus, Single Variable: Early Transcendentals (3rd Edition)

Ch. 8.1 - What change of variable would you use for the...Ch. 8.1 - Prob. 2QC Ch. 8.1 - Prob. 3QC Ch. 8.1 - Prob. 4QC Ch. 8.1 - What change of variables would you use for the...Ch. 8.1 - Prob. 2E Ch. 8.1 - What trigonometric identity is useful in...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E

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The volume of the solid when the region R is revolved about the x axis.

Solution Summary: The author calculates the volume of the solid when the region R is revolved about the x axis.

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To find: The volume of the solid when the region R is revolved about the x axis.

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Chapter 8 Solutions