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**Question**

14) The diagram shows a cylinder and a cone.

The cylinder has radius 2cm and height 9cm.

The cone has radius

The ratio

The volume of the cone is

Work out the value of

The volume V of a cone with radius r and height h is:

The cone has radius

*r*cm and height*h*cm.The ratio

*r*:*h*is 1 : 4.The volume of the cone is

**equal to**the volume of the cylinder.Work out the value of

*r*.The volume V of a cone with radius r and height h is:

**[5 marks]**