Question

a cylinder and a cone have bases of equal radii and are equal heights.find the ratio of their valumes

Answer 1

volume of cylinder =
$\pi {r}^{2} h$
volume of cone =
$\frac{1}{3} \pi {r}^{2} h$
ratio of their volumes =
$\frac{\pi {r}^{2}h }{ \frac{1}{3} \pi {r}^{2} h} = \frac{1}{ \frac{1}{3} } = \frac{3}{1}$
pi r^2 h cancelled to each other as their values are same.

therefore ratio of volume of cylinder to volume of cone is 3:1

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