Question

How to solve this.
A cylinder of length 2x is inscribed in a sphere of radius a . Between one end ot this cylinder & sphere, another cylinder is inscribed with one end on an end of the first cylinder so that the axes of the cylinders are collinear. Show that the sum of the volumes of the two cylinders is,
V= 2(Pi) ( x + y )^( a^2 - x^2 - 4y)

Thanks

Answer 1

Hi MertsJ.

Answer 2

Hi there.

Answer 3

Are you understanding question?

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

let us start.

Answer 11

The axes of the cylinders. So I would assume that means the line down the middle of the cylinder that is perpendicular to both bases.

Answer 12

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

Answer 13

Tried to figure out the diagram too

Answer 14

Is there any information as to what y represents?

Answer 15

The axes of the cylinders. So I would assume that means the line down the middle of the cylinder that is perpendicular to both bases.

Yeah i agree.

Answer 16

A cylinder of length 2x is inscribed in a sphere of radius a



Is this right? for the above mentioned line?