A sphere and a cube of same material and same volume are heated upto same temperature and allowed to cool in the same surroundings. The ratio of the amounts of radiations emitted will be

  • A

    $1 :1$

  • B

    $\frac{{4\pi }}{3}:1$

  • C

    ${\left( {\frac{\pi }{6}} \right)^{\frac{1}{3}}}:1$

  • D

    $\frac{1}{2}{\left( {\frac{{4\pi }}{3}} \right)^{\frac{2}{3}}}:1$

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