Question

A sphere and cylinder of same radius have equal volumes. by what percent doea the diameter of the cylinder exceed its height?

Answer 1

Volume of Sphere = (4/3)πr³

Volume of right circular cylinder = πr²h

 Volume of Sphere = Volume of right circular cylinder.

(4/3)πr³= πr²h

(4 /3) r = h.

2r = 3h / 2

d = 3h / 2
 Let h be 100 %.

D = 3h/ 2 = (3/2)x 100% = 150%

 Difference = 150% - 100% = 50%

Answer is 50%.