one glass cylinder and one glass cone if the height of the glasses doubled and then the volumes would increase times___
(use for formulas to substitute V=1/3πr^2h and V=πr^2h)
The volume of a cylinder is given by V = πr^2h.
If the height of the cylinder doubles, the new volume would be V' = πr^2(2h) = 2πr^2h.
So the volume would increase by a factor of 2.
The volume of a cone is given by V = (1/3)πr^2h.
If the height of the cone doubles, the new volume would be V' = (1/3)πr^2(2h) = (2/3)πr^2h.
So the volume would increase by a factor of 2/3.