A cylinder of radius $4\ cm$ and height $10\ cm$ is immersed in two liquids as shown. Specific gravity of oil is $0.5$ . $2\ cm$ of cylinder is in the air. Select the $INCORRECT$ statement. Neglect atmospheric pressure.
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Force exerted by oil on the cylinder is zero.
Force by water $=(4 \sigma g+4 \rho g) \times A$
$=\left[4 \times \frac{1}{2} \times \frac{10^{4}}{100}+\frac{4 \times 10^{3} \times 10}{100}\right] \times \frac{16 \pi}{10^{4}}=0.96 \pi \mathrm{N}$
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