Question

A sphere is melted to form a cylinder whose height is 9/2 times of its radius. What is the ratio of radii of sphere of the cylinder.

Answer 1

V of Sphere = V of Cylinder

h = 9r/2

4/3 pi r^3 = pi r^2 h

putting h = 9r/2

4/3 r^3 = r^2 × 9r/2

4/3 r^3 = 9/2 r^3

r^3/r^3 = 9×3/2×4

r^3/r^3 = 27/8

r/r = 3/2

Ratio of radii = 3 : 2


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