Question

The ratio of the volumes of a right circular cylinder and a right circular cone of the same base and the same height will be
(a) 1 : 3
(b) 3 : 1
(c) 4 : 3
(d) 3 : 4

Answer 1

(b) 3 : 1

It is given that the right circular cylinder and the right circular cone have the same base and height.
Suppose that the respective radii of bases and heights are equal to r and h.
Then ratio of their volumes = $\frac{\mathrm{\pi }{r}^{\mathit{2}}h}{{\displaystyle \frac{1}{3}}\mathrm{\pi }{r}^{\mathit{2}}h}=\frac{3}{1}$