If the curved surface area of a right circular cone is 816.4 cm2 and the ratio between its radius and height is 5:12, then find the volume(in cm3) of the cone? ?(Take π=3.14)

Curved surface area of cone = πrl = 816.4, where r is radius and l is slant height. Given r/h = 5/12, so h = (12/5)r. For a cone, l² = r² + h² = r² + (144/25)r² = (169/25)r², so l = (13/5)r. Substituting: π × r × (13/5)r = 816.4. With π = 3.14: 3.14 × (13/5) × r² = 816.4. This gives r² = 100, so r = 10 cm. Then h = 24 cm. Volume = (1/3)πr²h = (1/3) × 3.14 × 100 × 24 = 2512 cm³.