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1. If a hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cylinder of base diameter 8 cm, then the height of the cylinder is :

Solution:
Let the height of the cylinder be h cm
Then,
43π[(4)3(2)3]=π×42×h43×π×56=π×16hh=4×563×16h=143cm

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