A metallic cylinder has radius 3 cm and height 5 cm. It is made of metal A. To reduce its weight, a conical hole is drilled in the cylinder as shown and it is completely filled with a lighter metal B. The conical hole has a radius of 3/2 cm and its depth is 8/9 cm Calculate the ratio of the volume of the metal A to the volume of the metal B in the solid.

Radius of cylinder = 3 cm

Height = 5 cm

Volume of conical hole =