Question
A cone and a cylinder have the same base radius and the same height. What is the ratio of the volume of the cone to the volume of the cylinder?
This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
1:3
Volume of a cone \(= \frac{1}{3}\pi r^2 h\); volume of a cylinder \(= \pi r^2 h\), where \(r\) is the base radius and \(h\) the height.
Since the radius \(r\) and height \(h\) are the same for both solids, take the ratio: \(\frac{\frac{1}{3}\pi r^2 h}{\pi r^2 h}\).
The common factor \(\pi r^2 h\) cancels, leaving \(\frac{1}{3}\), i.e. \(1:3\).
Hence, the answer is 1:3.
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