A hemispherical bowl just floats without sinking in a liquid of den...

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A hemispherical bowl just floats without sinking in a liquid of density \( 1.2 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3} \). If outer diameter and the density of the bowl are \( 1 \mathrm{~m} \) and \( 2 \times 10^{4} \mathrm{~kg} / \mathrm{m}^{3} \) respectively then the inner diameter of the bowl will be
(a) \( 0.94 \mathrm{~m} \)
(b) \( 0.97 \mathrm{~m} \)
(c) \( 0.98 \mathrm{~m} \)
(d) \( 0.99 \mathrm{~m} \)
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