Question

Ratio of the radii of the cylinder to the cone is 1:2 . Assume their heights are the same. Find the ratio of their volumes

Answer 1

Answer:

Let the radius of the cylinder be x

The radius of the cone is 2x

Let the common height be h

★ Volume of Cylinder = πx²h

★ Volume of Cone = 1/3 π(2x)² h

Volume of Cone = 4/3 πx²h

★ Volume of cylinder : Volume of cone

= πx²h : 4/3 πx²h

= 1 : 4/3

= 3 : 4