Ratio of the volumes of a sphere of radius 'r' and a cylinder of radius 'r' and height '2r' is:
Given,
Radius of sphere = r
Radius of cylinder = r and its height = 2r.
Ratio of formula for volume of sphere and cylinder is,
$${\frac{4}{3}}\times{π}{r^3}$$ : $${π}{r^2}{h}$$
substituting r and h values in the formula,
$${\frac{4}{3}}\times{π}{r^3}$$ : $${π}{r^2}{2r}$$
$${\frac{4}{3}}\times{r^3}$$ : $${2}{r^3}$$
$$\frac{4}{3}$$ : $${2}$$
$${4}$$ : $${6}$$
$${2}$$ : $${3}$$
Therefore the answer is 2:3
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