The volume of a cone is equal to 1/3 times the area of the base times the height, while the volume of a cylinder is equal to the area of the base times the height. Since the height and radius are the same for both shapes, the area of the base is also the same.
Therefore, the cylinder has a greater volume, since it does not have the factor of 1/3 in its volume formula. The difference in volume between the cone and cylinder is 2/3 of the volume of the cone.
A cone and a cylinder have the same height in radius, which shape has the greater volume and by how much greater is it?
1 answer
1 answer