SSC CHSL 2023 PYQ — Question 61

SSC CHSL 2023 - 02 Aug 2023 - Shift 4 • Quantitative Aptitude • Q61

The sum of the radius of the base and the height of a cylinder is 42 m. If the total surface area of the cylinder is 6336 mm2, find the curved surface area of the cylinder, (correct to two places of decimals) (use π =227\frac{22}{7}).

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 2715.43 m2.

Given that.

Radius (r) + Height (h) = 42 m

The total surface area of the cylinder is 6336 m2,

Total surface area of cylinder = 2πr(r + h)

Curved surface area (CSA) of cylinder = 2πrh sq. units

⇒ 2πr(r + h) = 6336

⇒ 2 × 227\frac{22}{7} × r × 42 = 6336

⇒ r = 24 m

So, h = 42 - 24 = 18 m

Hence, CSA of cylinder = 2 × 227\frac{22}{7} × 24 × 18 = 2715.43 m2