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SSC MTS 2024 PYQ — Question 6

SSC MTS - 08/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q6

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The curved surface area of a cylindrical pillar is 176 m2, and its volume is 352 m3. Find the ratio of its radius to its height. (Use π=227\pi = {22\over7})

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 4 : 7.

Curved surface area = 2πrh = 176

Volume = πr2h = 352

⇒ πr2h2πrh=352176{{\pi r^2 h}\over{2\pi r h}}={352\over176}

⇒ r2=2{{r }\over{2 }}={2}

⇒ r = 4

Curved surface area = 2πrh = 176

⇒ 2×227×4×h=176{2\times{22\over7}\times4\times h}={176}

⇒ h = 7

⇒ r : h = 4 : 7