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Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. X y=sin 1¹ - - 2₁ X= -1 12' x = 0, y= π 12

Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. X y=sin 1¹ - - 2₁ X= -1 12' x = 0, y= π 12

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. y = sin X -¹.x=0.y x = 0, y = 12 1 J 12 The volume of the solid is cubic units. (Type an exact answer.)
Transcribed Image Text:Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. y = sin X -¹.x=0.y x = 0, y = 12 1 J 12 The volume of the solid is cubic units. (Type an exact answer.)
Expert Solution
Step 1: Write the given information:

Let R be the region bounded by the following curves:

y equals sin to the power of negative 1 end exponent open parentheses x over 12 close parentheses space comma space x equals 0 space comma space y equals straight pi over 12

To Find:

The volume of the solid is generated when R revolves about the y-axis.



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