Let the radius of sphere and cylinder be r and h be the height of cylinder. Then according to the question. Volume of sphere = Volume of cylinder ⇒ 4/3πr3 = πr2h ⇒ r = 3/4.h Diameter of the cylinder = 3/2.h Difference between the diameter and height of the cylinder = 3/2h - h = h/2 Percentage by which the diameter exceeds the height of cylinder = h/2/h x 100 = h/2 x 1/h x 100 = 50% Thus, the diameter of the cylinder exceeds its height by 50%.