The lengths of the base radii and the heights of a right circular cylinder and a right circular cone are equal.The ratio of their volumes is -...............
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The lengths of the base radii and the heights of a right circular cylinder and a right circular cone are equal.The ratio of their volumes is -...............
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Answer:
Step-by-step explanation:
Since a given cone and a cylinder have the same radius r and height h, then the ratio of their volumes is:
V(cone)/V(cylinder) = [(1/3)πr²h]/(πr²h)
= (1/3)(π/π)(r²/r²)(h/h)
= (1/3)(1)(1)(1)
= 1/3
Therefore, for a cone which has the same radius and height as a cylinder, we see that the volume of the cone the ratio is 1:3