SSC GD 2023 PYQ — Question 57

SSC GD Constable (English) - 23 Jan 2023 - Shift 2 • Quantitative Aptitude • Q57

If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, then:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. h = (12\frac{1}{2})r.

C.S.A of the cylinder = 2πrh

T.S.A of the cylinder = 2πr(r + h)

⇒ 1/3 × 2πr(r + h) = 2πrh

⇒ 1/3 × (r + h) = h

⇒ r + h = 3h

⇒ r = 2h

⇒ h = r/2