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SSC CPO 2025 PYQ — Question 132

SSC CPO - 9 Dec 2025 - Shift 2 • Quantitative Aptitude • Q132

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A composite solid is formed by placing a cone, which has a radius of 2 cm and a height of 6 cm, on top of a right circular cylinder. The cylinder's radius is twice that of the cone, and its height is also double that of the cone. What is the ratio of the volume of the cone to that of the cylinder?

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Correct answer: A

Explanation

Cone: r = 2 cm, h = 6 cm

Cylinder: r = 4 cm, h = 12 cm

Volume of Cone = (1/3)πr²h

Volume of Cylinder = πr²h

Cone =13π(22)(6)=13π(4)(6)=8π= \frac{1}{3}\pi (2^2)(6) = \frac{1}{3}\pi (4)(6) = 8\pi

Cylinder =π(42)(12)=π(16)(12)=192π= \pi (4^2)(12) = \pi (16)(12) = 192\pi

Ratio = 8π : 192π = 1 : 24