Is My Disk Method Calculation Correct for Finding Volume?

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Homework Help Overview

The discussion revolves around calculating the volume of a solid formed by revolving a shaded region around a specified axis, specifically the y-axis, using the disk method.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of the disk method and the need for clarity regarding the axis of rotation, with one participant initially omitting this detail.

Discussion Status

The conversation has clarified the axis of rotation as the y-axis. Some participants confirm the approach taken by the original poster, while others seek to ensure all necessary information is provided.

Contextual Notes

There was an initial lack of clarity regarding the axis of rotation, which is crucial for applying the disk method correctly.

TheTaoOfBill
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Homework Statement


Find the volume of the solid generated by revolving the shaded region about the given axis.
61prob14.jpg


Homework Equations


I used the disk method to solve this
V = int from a to b(pi * R(x)^2)


The Attempt at a Solution



V = int from 0 to 2( pi * (3Y/2)^2 dy) = 6pi
 
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TheTaoOfBill said:
Find the volume of the solid generated by revolving the shaded region about the given axis.
Which axis? It's not given.
 
Mark44 said:
Which axis? It's not given.

sorry... Over the Y axis.
 
The region is rotated around (or about) the y-axis. Yes, that's the right answer.
 

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