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A metallic cylinder has radius 3 cm and ...

A metallic cylinder has radius 3 cm and height 5 cm. To reduce its weight, a conical hole is drilled in the cylinder. The conical hole has a radius of `(3)/(2)`cm and its depth `(8)/(9)` cm. Calculate the ratio of the volume of metal left in the cylinder to the volume of metal taken out in conical shape.

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