A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.

Radius of cylinder (r₁) = 12/2 = 6 cm, height of cylinder (h₁) = 15 cm
Height of conical part (h₂) = 12 cm, radius of conical part (r₂) = 6/2 = 3 cm
Radius of hemisphere (r₂) = 3 cm, let the number of ice cream cones = n
Therefore, volume of cylinder = n × [volume of cone + volume of hemisphere]
⇒ πr₁²h₁ = n(1/3πr₂²h + 2/3πr₂³) ⇒ 6² × 15 = n(1/3 × 9 × 12 + 2/3 × 3³)
⇒ 36 × 15 = n (36 + 18) ⇒ n = (36 × 15)/54 = 10
Hence, the number of cones of filled with ice cream is 10.