Question

The height and radius of a cone are each multiplied by 2.What effect does this have on the volume of the cone?The volume of the cone is multiplied by-

Answer 1

Initially

The volume of a cone is;

`V=(1)/(3)\pi r^2h`

when

radius and height are multipled by 2

The new volume is

`V_1=(1)/(3)\pi(2r)^2(2h)=8\cdot(1)/(3)\pi r^2h=8V`