A sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere. Find the ratio of their volumes.
Volume of a sphere = (4/3)πr3
Volume of a right circular cone = (1/3)πr2h
Volume of a cylinder = πr2h
Given, sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere
Height of cone and cylinder = 2r
Ratio of their volumes = (4/3)πr3 : πr2h : (1/3)πr2h
⇒ Ratio of their volumes = 4r3 : 6r3 : 2r3 = 2 : 3 : 1