Best Answer

height = diameter = 2 x radius

volume_cylinder = π x radius2 x height

= π x radius2 x (2 x radius)

= 2 x π x radius3

⇒ radius = 3√(volume_cylinder/(2 x π))

⇒ height = diameter

= 2 x radius

= 2 x 3√(volume_cylinder/(2 x π))

= 3√((4 x volume_cylinder)/π)

Q: If the volume of a cylinder is given and the diameter equals the height how do you find the height?

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The volume of the cylinder that has a diameter of 10 and height of 3 is 235.62 cubic units.

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You cannot determine the height and diameter from just the volume because there is an almost infinite number of combinations of height and diameter that could create a particular volume.

That will depend on its height because volume of the cylinder = pi*radius2*height

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