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

Solution

Initially

The volume of a cone is;

$V=\frac{1}{3}\pi r^2h$

when

radius and height are multipled by 2

The new volume is

$V_1=\frac{1}{3}\pi(2r)^2(2h)=8\cdot\frac{1}{3}\pi r^2h=8V$