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