A solid steel cylinder of radius and height has to be made to float in water with its…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A solid steel cylinder of radius 2.0 cm2.0\,\text{cm} and height 10 cm10\,\text{cm} has to be made to float in water with its top level with the water surface by drilling a coaxial cylindrical hole through its full height. What should be the radius of the hole? (Density of steel =7.8×103 kg m−3=7.8\times10^{3}\,\text{kg m}^{-3}, density of water =1.0×103 kg m−3=1.0\times10^{3}\,\text{kg m}^{-3}) (a) 1.7 cm1.7\,\text{cm} (b) 1.9 cm1.9\,\text{cm} (c) 2.1 cm2.1\,\text{cm} (d) 1.5 cm1.5\,\text{cm}

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