how many times larger is the volume of the cylinder than the volume of the cone if the cone and cylinder had the same dimensions.
The volume of a cylinder is given by the formula Vcylinder = πr^2h, where r is the radius and h is the height.
The volume of a cone is given by the formula Vcone = (1/3)πr^2h.
If the cylinder and cone have the same dimensions, then their height and radius are the same. Let's assume the radius is r and the height is h.
Therefore, the volume ratio of the cylinder to the cone is given by:
(Vcylinder)/(Vcone) = (πr^2h)/(1/3πr^2h) = 3
So, the volume of the cylinder is 3 times larger than the volume of the cone when they have the same dimensions.