MathematicsThe 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?

A
h/√r
B
N√r
C
√r/n
D
n2/r

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 /π
r =√h2 /π
r= h /√r
Have radius of cylinder is h /√r

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