Ineed a good deffinet answer i suck at these type of questions a cylinder and a cone have the same diameter: 8 inches. the height of the cylinder is 5 inches. the height of the cone is 15 inches. use π = 3.14. what is the relationship between the volume of this cylinder and this cone? explain your answer by determining the volume of each and comparing them. show all your work.

I don't even actually need to work this one out. The rule between the volumes of a cylinder and a cone is that is they have the same height and diameter, the the volume of the cone is one-third that of the cylinder. But in this case the cone's height is three times that of the cylinder. So I predict that their volumes are the exact same. But working it out, the volume of a cylinder is V=πr2h, and plugging in all the appropriate values the volume of the cylinder is 251.33 square inches. And the volume of a cone is V=πr2(h/3), and plugging in the values given to me here the volume of the cone is 251.33 square inches. Therefore their volume is the same.

c is the final answer! : )

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