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Problem 22

Refer to the figure and find the volume generated…

01:04
Problem 22

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_1 $ about $ BC $
Problem 23

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_2 $ about $ OA $
Problem 24

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_2 $ about $ OC $
Problem 25

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_2 $ about $ AB $
Problem 26

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_2 $ about $ BC $
Amrita B.
Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72
Problem 21

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_1 $ about $ AB $

Answer

$\frac{1}{3} \pi$

More Answers
Wen Z.
01:51
Chapter 6
Applications of Integration
Section 2
Volumes
Calculus: Early Transcendentals

Topics

Volumes

Discussion

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Video Transcript

Okay. In order to find the volume, we know that we're integrating along the parallel access to the axis of rotation. We know we have The radius is one minus. Y is equivalent to our therefore V is hi times, integral from 01 of the radius, which we said was one minus y squared. Do you? Why use the foil method to expand. Now we're at the point where we can find the integral use the power method, increase the experiment by one divide by the new exponents. Now we can plug in and we end up with power over three.

Recommended Questions

Problem 19

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_1 $ about $ OA $
Problem 20

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_1 $ about $ OC $
Problem 25

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_2 $ about $ AB $
Problem 22

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_1 $ about $ BC $
Problem 29

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_3 $ about $ AB $
Problem 23

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_2 $ about $ OA $
Problem 24

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_2 $ about $ OC $
Problem 27

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_3 $ about $ OA $
Problem 28

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_3 $ about $ OC $
Problem 26

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_2 $ about $ BC $