Question

The curved surface area of a right circular cone with slant height 5 cm is 550 cm². What is the total surface area of the cone?
1. 2200 cm²
2. 1100 cm²
3. 4400 cm²
4. 5500 cm²

Answer 1

Correct Answer - Option 3 : 4400 cm²

Given

Curved surface area of cone = 550 cm²

Slant height of cone = 5 cm

Concept

Total surface area of cone = πrl + πr²

πrl = 550

⇒ (22/7) × r × 5 = 550

⇒ r = (550 × 7)/(22 × 5)

⇒ r = 35

Total surface area of cone = curved surface area of cone + area of base

550 + πr²

⇒ 550 + (22/7) × (35)²

⇒ 550 + 3850

⇒ 4400 cm²