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SSC MTS 2024 PYQ — Question 16

SSC MTS - 08/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q16

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The curved surface area of a cylinder is three-fifths of its total surface area. Find the ratio between the height and radius of the cylinder.

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 3 : 2.

The curved surface area(CSA) = 353\over5 × Total surface area(TSA)

⇒ 2πrh2πr(r+h)=35{2\pi rh\over2\pi r(r+h)}={3\over5}

⇒ 5h = 3(h + r)

⇒ 5h = 3h + 3r

⇒ 2h = 3r

⇒ h : r = 3 : 2