one glass cylinder and one glass cone if the height of the glasses doubled and then the volumes would increase times___

Question

(use for formulas to substitute V=1/3πr^2h and V=πr^2h)

Answer 1

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.