if a cone height increases x 3 how much with the volume increase
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
If the height of the cone increases by a factor of 3, then the new height will be 3h. Plugging this into the volume formula, we get:
V_new = (1/3)πr^2(3h)
V_new = 3πr^2h
Therefore, the volume of the cone will increase by a factor of 3.