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SSC Selection Post 2022 PYQ — Question 59

SSC Selection Post - Higher Secondary Level 2022 - 2 Aug 2022 - Shift 2 • Quantitative Aptitude • Q59

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The material of a solid right circular cylinder is converted into the shape of a solid cone of equal radius. If the height of the cylinder was 4.5 cm, then the height of the cone is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 13.5 cm.

Volume of cylinder = πr2h1\pi r^2h_1

Volume of cone = 13πr2h2\frac{1}{3} \pi r^2h_2

According to the question, πr2h1\pi r^2h_1 = 13πr2h2\frac{1}{3} \pi r^2h_2

⇒ h1 = (1/3)h2

⇒ h2 = 3 × 4.5

⇒ h2 = 13.5 cm