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Hi MertsJ.

Hi there.

Are you understanding question?

This is a hard problem. I think we need Satellite.

I think maybe. I tried to draw it and that is not easy.

nothing is hard. we can do anything. just need of help.

Also it would be helpful if we knew what y represents.

i think coordinates. because he talk about axes. isn't it?

first we need a diagram. otherwise it will take more time to understand.

let us start.

Or perhaps I am wrong in my assumption that these are right circular cylinders.

Tried to figure out the diagram too

Is there any information as to what y represents?

I think x & y represent the value of r^2

I think one end of the cylinder is touching each other

@Mertsj.
Here is just a sphere not a circle.

we need some more help. now i want to answer this question.

But if the cylinder is inscribed in a sphere, isn't the base of the cylinder a circle of the sphere?

Trying to visualize it

hmmm... yes you are right. but does this matter here?

It can be mean that the cylinder is in lying position

|dw:1327783724290:dw|

@MertsJ.
Are their axes collinear or not?

If we see only one cylinders . 2a - 2x is the part that protrude out at the end of cylinder

Actually a-x since there is an equal piece at both ends of the cylinder.

a-x for one side

remember guys. axes must be collinear. otherwise we could not be able to find volume.

Yes

What class are you taking. Is this a calculus problem?

a-x for one side
yes it is.

engineering degree

|dw:1327784324342:dw|

Is it a calculus problem?

Partial diff

but the answer ain't matchin

what is y???

yes this y is confusing to us.

@shaan_iitk.
I got the same ans. :-(

is this question complete? may be he forget to give description about y.

That the question I got nothing else specified. Can it be the second cylinder is the same size

well then the question is incomplete ..isn't it.. there has to be some meaning of y

|dw:1327784699588:dw|

Could that be what is meant?

It stated that the other cylinder only touches one side so it should be outside

And it also says that is it inscribed.

we need another help. until we don't figure it. we can't move ahead.

|dw:1327784979966:dw|

Perhaps like that?

not this too. i am sure.

I think this is the right diagram

So do we agree that the volume of the large cylinder is 2pi(x)(a^2-x^2)?

ok try. i will just see.

Maybe that the y

will any one try to solve it?

\[V=2\pi x(a ^{2}-x ^{2})\]
Volume of first cylinder

How you get that

It'd be lovely to have a definitive answer of what y is still... :)

hmm... may be you are right Mertsj. this seems to be the volume of the first cylinder.

yes this y creating confusion. still.

What I get is v = 4 Pi. ( a -x )^2

Any comment?

That was the question given to me

In that case, I would ask you to clarify these questions with the source.

It says the 2 cylinder are collinear. Thus, I think both the drawings are incorrect?

yes. i agree with accessibm.
That is what i am also saying.