Question

A cone, a cylinder and a hemisphere have equal bases and equal height. Find the ratio of their volumes

Answer 1

Answer:

cone : cylinder : hemisphere = 1:3:2

Step-by-step explanation:

let radius be r, height be h

in case of hemisphere the radius = height

∴ r = h (for all 3 cases)

now,  vol. of cone = 1/3 πr²h = 1/3 πr³

         vol. of cylinder = πr²h = πr³

         vol. of hemisphere = 2/3 πr³

the ratio = 1/3πr³ : πr³: 2/3πr³ = 1/3 : 1: 2/3 = 1 : 3 : 2