SSC MTS 2024 PYQ — Question 7

SSC MTS - 22/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q7

The total surface area of a right circular cone is 704 cm². If the radius of the cone is 7 cm, find the slant height. (Use π = 22/7)

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e 25 cm.

Total Surface Area of cone = πr(l + r), where l is the slant height

⇒ 704 = (22/7) × 7 × (l + 7)

⇒ 704 = 22 × (l + 7)

⇒ 704 ÷ 22 = l + 7

⇒ 32 = l + 7

⇒ l = 32 - 7 = 25 cm