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CAT 2024 Set-1 | Quantitative Aptitude | Question: 19

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The surface area of a closed rectangular box, which is inscribed in a sphere, is $846 \: \mathrm{sq}$  $\mathrm{cm}$, and the sum of the lengths of all its edges is $144$ $\mathrm{cm}$. The volume, in cubic $\mathrm{cm}$, of the sphere is

  1. $750 \pi$
  2. $1125 \pi \sqrt{2}$
  3. $750 \pi \sqrt{2}$
  4. $1125 \pi$

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