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The solution is easy for a vertical 'cylinder' (i.e. a cylinder with its faces at right angles to the direction of gravity, like barrel standing on a horizontal surface. In this case the volume is given by:

V=h*(1/2)*pi*(r^2)

Where V=Volume, h is the height to which the cylinder is filled, pi is the number Pi (3.142) and r is the radius of the cylinders faces.

If the cylinder is vertical (i.e. a barral lying on the gound so that it could easily be rolled away) it gets a bit more tricky:

V=l*(pi*r^2/2-r^2*arcsin(1-h/r)-(r-h)*sqrt(h*(2r-h))

Where l is the length of the cylinder.

Note:

h is always measured from the lowest point of the fluid contained in the cylinder to the the fluid's surface

arcsin is the inverse of sin

sqrt denotes the squareroot of the following bracket

Good luck!

felixmschubert@Yahoo.de

Q: How do you calculate cubic volume of a cylinder at different levels?

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The volume should not change if the cylinder is rigid.

The formula to calculate volume of a cylinder is: V = r2 x Pi x height (r = radius)

Volume of a cylinder = (pi) x (radius of the end)2 x (length)

Volume of a cylinder = (pi) x (Radius)2 x (Length)

Volume = {pi}r2h where r = radius of base, h = height of cylinder.

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Calculate the volume of a single cylinder and multiply it by the number of cylinders.

The volume should not change if the cylinder is rigid.

The formula to calculate volume of a cylinder is: V = r2 x Pi x height (r = radius)

Mass and volume are needed to calculate the density of a graduated cylinder.

Volume of a cylinder = (pi) x (radius of the end)2 x (length)

Volume of a cylinder = (pi) x (Radius)2 x (Length)

Volume = pi*radius2*height

The formula for the volume of a cylinder is:V = radius2 x Pi x length

Use the formula for a cylinder.

Volume in cubic units = pi*radius2*height

That of course will depend on their dimensions of which none have been given