Question

A cone and a sphere have the same base and the same height find the ratio between their volumes

Answer 1

volume of cone/volume of sphere=1/2

Answer 2

volume of cone = volume of sphere
$\frac{1}{3} \pi \: {r}^{2} h = \frac{4}{3} \pi \: {r}^{3} \\ r \: = \: 4r \: \: ......... (h = r) \\ 1 = 4$
then ratio becomes 1:4