Volume of Revolution - Comparing the Washer and Shell Method

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This video compares how to determine volume of revolution using washers and shells.

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You are the real MVP, studying for my calc exam . Thank you!!

glo

I found this review very helpful. I never really understood when was the best time to execute the shell method or the disk method and this really cleared things up for me.

MichaelQuotesTheBible

By far the best explanation of the difference between washer/disk and shell I've ever seen.

KB-vdwq

great video to demonstrate the comparisons of shell vs washer...trying to prepare for a cal2 midterm

charlesairiohuodion

you're the best! thanks for this video, my teacher did not explain this very well and you did it perfectly!

kevinchau

He's missing a squared in the washer method for the rotation around y-axis.

arnoldkwok

"When you use disk/washer method you will cut the solid into infinite no. of disks and integrate all of them to find total volume." i.e. you will summarize the area for an infinite no. of disks/circles. the area of a circle is pi(r^2)

When you use the shell method you summarize the volumes of an infinite number of shells. And the volume of a shell is 2Pi*r

kaspera

Great video! But at 8:07, shouldn't it be ((y-2)^2)^2?

yankeefan

Well done. This was exactly the explanation I needed. Thank you.

Mikeyman

Thank You! I have a better understanding now :-)

joanneho

This was a very good video! Much learned!

civice

Using the shell method, h(y) is not squared.

Mathispoweru

Can you do a video rotating about x=a or y=a?

ken

Thank you really broke it down nicely.

palowjanem

Why is the shell method 2pi while the washer is only pi?

_FootHand

I know this is crazy, but you asked. Think about the protection of a condom's surface. It protects what goes in/out of the two "surface areas" (or "functions" if your dirty enough to call it that) One side holds a higher value.

The "disk method" portrays a function that flows from an intrinsic function projecting outward
The "washer method" portrays a function the flows from an extrinsic function projecting inward

And vice versa if you flip the coordinates of x and y...z is where it gets "fun"

mikaelgarcia

at 8:15 shouldn't it be (y-2)^4 because it gets squared again?

Gaurav-rveh

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