Volume of Sphere = (4/3)*π*r^3 = (4/3)*π*3^3 = 36π
Given, weight and height of a cylinder & a cone is same
Hence, Volume of cylinder = Volume of cone = Volume of sphere/2 = 18π
Let radius of cylinder=r and cone=R and height=h
Volume of cylinder = π*r^2*h = 18π and
Volume of Cone = (1/3)*π*R^2*h = 18π
Comparing above volumes, we get (r/R)^2=1/3
r/R = 1/√3