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
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

Solution:

(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 $=\frac{\pi r^{2} h}{\frac{1}{3} \pi r^{2} h}=\frac{3}{1}$