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Mathematics 18 Online
OpenStudy (marcelie):

help please help please 2c http://prnt.sc/chmhxa

OpenStudy (marcelie):

@agent0smith

OpenStudy (marcelie):

this is what i graphed http://prnt.sc/chn2qv

OpenStudy (3mar):

What is your question, sister?

OpenStudy (marcelie):

idk how to solve it lol

OpenStudy (agent0smith):

Because the axis is y=-1, if you draw the radius for either, you should notice that the radius is 1 unit longer, than it would be if the x-axis was the axis of rotation. So just add 1 to each of the inner and outer radius, washers should be easy.

OpenStudy (marcelie):

hmm so then what would this be ? washer or disk ?

OpenStudy (agent0smith):

You still haven't learned that they're basically the same thing ;P a washer is just a disk with a hole in it. There's two radii right? You drew them in pink. A disk can't have two radii...

OpenStudy (marcelie):

true so then its washer ? lool aaahhhh i get em confuse idk whyyy

OpenStudy (agent0smith):

A disk has an outer radius. A washer has an outer and inner radius.

OpenStudy (agent0smith):

HOW do you get em confused still x'd

OpenStudy (agent0smith):

If you shade in that area, then imagine rotating around y=-1, it's not gonna be a solid object, right? Finna look like a donut.

OpenStudy (marcelie):

yeh .. draw it for me neega x'd

OpenStudy (agent0smith):

If you imagine rotating it, and it'll make a solid object with no holes, then it's a disk. I can't draw it in 3D. Shade in the enclosed region between the two functions, and use your brain... imagine rotating it ;P

OpenStudy (agent0smith):

But memorize this: A disk only has an outer radius. A washer has both an outer and inner radius.

OpenStudy (agent0smith):

And they literally are the SAME thing gurl. They use the same formula. Washer and disk both use:\[\Large V = \pi \int\limits_{a}^{b} \text{Outer}^2 - \text{Inner}^2 \]If there is no inner radius at all, then inner radius is just zero. Erase disk method from your brain. Use washer method. That's what i do. A disk is just a washer, with no inner radius.

OpenStudy (marcelie):

loooll ooo x'd

OpenStudy (agent0smith):

I've been trying to get you to realize this for weeks x'd they're the same damn thing! There should never be confusion!

OpenStudy (agent0smith):

Washer and cylindrical shells are different formulas.

OpenStudy (marcelie):

yaas x'd

OpenStudy (agent0smith):

You got dis?

OpenStudy (marcelie):

yesh lool u gona help me with some more ;p

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