a sphere,cylinder and a cone are of the same radius and same height.find the ratio of their respective volumes
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Volume of a sphere = ![\frac{4}{3} \pi r^{3} \frac{4}{3} \pi r^{3}](https://tex.z-dn.net/?f=+%5Cfrac%7B4%7D%7B3%7D++%5Cpi++r%5E%7B3%7D+)
Volume of cylinder =![\pi r^{2}h \pi r^{2}h](https://tex.z-dn.net/?f=+%5Cpi++r%5E%7B2%7Dh+)
Volume of a cone =![\frac{1}{3} \pi r^{3} \frac{1}{3} \pi r^{3}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B3%7D++%5Cpi++r%5E%7B3%7D++)
Given that their radius and height is same.
So = Volume of sphere : Volume of cylinder : Volume of cone
=![\frac{4}{3} : 1 : \frac{1}{3} \frac{4}{3} : 1 : \frac{1}{3}](https://tex.z-dn.net/?f=+%5Cfrac%7B4%7D%7B3%7D+%3A+1+%3A++%5Cfrac%7B1%7D%7B3%7D+)
Volume of cylinder =
Volume of a cone =
Given that their radius and height is same.
So = Volume of sphere : Volume of cylinder : Volume of cone
=
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