SOLUTION: If I have a cylinder with a half sphere top on it and a cylinder inside of it what is the formula for finding H, H being the height of the two cylinders assuming they are the same.

Question 765980: If I have a cylinder with a half sphere top on it and a cylinder inside of it what is the formula for finding H, H being the height of the two cylinders assuming they are the same. I am working with volumes so that is what I am trying to use, I have my known variables such as ending volume and individual volume formulas.
There will be three radii due to the walls of the cylinders having a thickness. I am just looking for a formula for the total air space volume. I've gotten confused on where I am at. If it'll help we can use inches or feet as the measuring units and x, y, and z as the radii variables. Also assume that the radii go from inside to outside radii.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If I have a cylinder with a half sphere top on it and a cylinder inside of it what is the formula for finding H, H being the height of the two cylinders assuming they are the same. I am working with volumes so that is what I am trying to use, I have my known variables such as ending volume and individual volume formulas.
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Not sure what you mean, but the volume of a cylinder is

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There will be three radii due to the walls of the cylinders having a thickness. I am just looking for a formula for the total air space volume. I've gotten confused on where I am at. If it'll help we can use inches or feet as the measuring units and x, y, and z as the radii variables. Also assume that the radii go from inside to outside radii.
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idk what that means.
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