The planet Mars has two moons, if one of them has a period $7$ hours, $30$ minutes and an orbital radius of $9.0\times {10}^3 \mathrm{km}.$ Find the mass of Mars.
$\left\{\right.$ Given $\left.\frac{4{\pi }^2}{G}=6\times {10}^{11}{ \mathrm{N}}^{-1}{ \mathrm{m}}^{-2}{ \mathrm{kg}}^2\right\}$

• A

  $5.96\times {10}^{19} \mathrm{kg}$
• B

  $3.25\times {10}^{21} \mathrm{kg}$
• C

  $7.02\times {10}^{25} \mathrm{kg}$
• Correct answer
  D

  $6.00\times {10}^{23} \mathrm{kg}$

Hence, the correct answer is option: 'D'.