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I NEED 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.

User Pprzemek
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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.

User Brijesh
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