A cylinder and a cone each have a radius of 3 inches and a height of 8 inches. What is the ratio of the volume of the cone to the volume of the cylinder?
Answer (2)
The volume of a cylinder is [ π R² h ] .
The volume of a cone is [ 1/3 π R² h ] .
If a cylinder and a cone both have the same radius and the same height, then the volume of the cone is 1/3 the volume of the cylinder.
The ratio of the volume of the cone to the volume of the cylinder is 3 1 . This is because the volume of the cone is one-third that of the cylinder when both have the same radius and height. Thus, for the given dimensions, the cone's volume is significantly smaller compared to the cylinder's volume.
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