Explanation Given information: The equations of the curves are y = sin − 1 x , y = π 2 and x = 0 . The curves are rotated about y = 3 . Formula used : The formula to find the volume of a solid obtained by rotating about the axis the region under the curve from a to b is V = ∫ a b circumference height thickness . Calculation: Draw the graph of the functions as shown below. Figure (1) For rotation about the line y = 3 , the radius is 3 − y . So, the circumference is 2 π 3 − y

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Author: Stewart

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Chapter 6.3, Problem 7E

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To calculate: The integral for the volume of the solid obtained by rotating the region bounded by the curves about the specified line.

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Chapter 6.3, Problem 6E

Chapter 6.3, Problem 8E

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Chapter 6 Solutions

CALCULUS,EARLY TRANSCENTALS

Ch. 6.1 - (a) Set up an integral for the area of the shaded...Ch. 6.1 - (a) Set up an integral for the area of the shaded...Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Find the area of the shaded region. 5.Ch. 6.1 - Find the area of the shaded region. 6.Ch. 6.1 - Set up, but do not evaluate, an integral...Ch. 6.1 - Prob. 8E Ch. 6.1 - Set up, but do not evaluate, an integral...Ch. 6.1 - Set up, but do not evaluate, an integral...

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The integral for the volume of the solid obtained by rotating the region bounded by the curves about the specified line.

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To calculate: The integral for the volume of the solid obtained by rotating the region bounded by the curves about the specified line.

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Chapter 6 Solutions