Correct Answer - Option 2 : 21 cm
Given:
Curved surface area = 363 cm2
Slant height = 11 cm
Formula used:
The curved surface area of cone = πrl
Where, r = Radius, l = Slant height
Calculation:
The curved surface area of cone = (22/7) × r × (11)
⇒ 363 = (22/7) × r × (11)
⇒ r = (363 × 7)/(22 × 11)
⇒ r = (33 × 7)/22
⇒ r = (3 × 7)/2
⇒ r = 21/2
Now, Diameter = 2 × r
⇒ Diameter = 2 × (21/2)
⇒ 21 cm
∴ The diameter of right circular cone is 21 cm.