Correct option is: (C) 3 : 1
Let r and h be the radii and heights of both cylinder and cube.
\(\therefore\) Volume of cylinder = \(\pi r^2\)h
volume of cone = \(\frac 13\) \(\pi r^2\)h
\(\therefore\) Ratio of their volumes = \(\frac {V_1}{V_2} \) = \( \frac {\pi r^2h}{\frac 13 \pi r^2h}\) = \(\frac 31\) = 3 :1
Hence, their volumes are in the ration 3 : 1