if a cylinder radius increases x 6 how much with the volume increase
The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height.
If the radius of a cylinder increases by a factor of 6, then the new radius will be 6 times the original radius, or 6r.
Since volume is directly proportional to the square of the radius, the volume will increase by a factor of 6^2 = 36.
Therefore, the volume will increase by 36 times the original volume.