Question

Project: Find the relationship among the volumes of a right circular cone, a hemisphere and a right circular cylinder of equal radii and equal heights.

Answer 1

Answer:

1 : 2 : 3

Step-by-step explanation:

Vc = volume of cone = (1/3).pie.r^2.h

Vs = volume of hemisphere = (2/3).pie.r^3

Vx = volume of cylinder = pie.r^2.h

Vc : Vs : Vx = (1/3).pie.r^2.h : (2/3).pie.r^3 : pie.r^2.h

                   = h : 2r : 3h

if r=h ,

Vc : Vs : Vx = 1 : 2 : 3