The height h of a cylinder is equal to the edge of a cube. If the cylinder and the cube have the same volume, what is the radius of the cylinder?

# The height h of a cylinder is equal to the edge of a cube. If the cylinder and the cube have the same volume, what is the radius of the cylinder?

1. A
h/√r
2. B
N√r
3. C
√r/n
4. D
n2/r

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### Solution:

Height of cylinder = edge of cube
Vol. of cylinder = vol. Of cube
Let the edge be ‘a’ of cube and base of cylinder be ‘r’
Vol of cylinder = π r2 h
Vol of cube (edge)3 = a3  (from (1)
π r2 h = h3 π r2 = h2  r2 = h2
r =√h2
r= h /√r
Have radius of cylinder is  h /√r

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