# Math

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The volume of a cylinder is 330 cm^3 . What are the dimensions of the cylinder (radius and height)?

• Math -

An infinite number of solutions.

Since V = πr^2 h
330 = πr^2 h
h = 330/(πr^2)

e.g.
if r=1
h = 330/π

if r = 5
h = 330/(25π) = 66/(5π)

if r = 3.478
h = 330(12.096484π)

etc.

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