SSC MTS 2024 PYQ — Question 5

SSC MTS - 07/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q5

The area of the base of a right circular cone is 308 cm2, and its height is 727\sqrt2 cm. Find its curved surface area (in cm2). (Use π = 22/7)

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 3082308\sqrt2.

πr2 = 308

⇒ (22/7) × r2 = 308

⇒ r = √98 = 7√2 cm

Slant height (l) = √[(7√2)2 + (7√2)2] = √196 = 14 cm

Curved surface area = πrl = (22/7) × 7√2 × 14 = 308√2 cm2