A solid sphere of specific gravity $27$ has a concentric spherical cavity and it just sinks in water. The ratio of cavity radius to that of outer radius of sphere is

  • A

    $\frac{{{{\left( {28} \right)}^{1/3}}}}{3}$

  • B

    $\frac{{{{\left( {30} \right)}^{1/3}}}}{3}$

  • C

    $\frac{{{{\left( {26} \right)}^{1/3}}}}{3}$

  • D

    $\frac{{{{\left( {24} \right)}^{1/3}}}}{3}$

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  • [KVPY 2021]