The right circular cone of height 24 cm has a volume of 1232 cm3, then the area of its curved surface is?

Question: The right circular cone of height 24 cm has a volume of 1232 cm3, then the area of its curved surface is? Solution: Volume of the cone = (1/3) × r2 × h = 1232⇒ (1/3) × (22/7) × r2 × 24 = 1232 ⇒ r2 = (1232 × 7 × 3)/(22 × 24) ⇒ r2 = 49∴ r = 7 So, slant height l = √(7)2 + (24)2 = √625 = 25 So, curved surface area = πrl = (22/7) × 7 × 25 = 550 cm3