A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is $v$, the total area around the fountain that gets wet is :

  • [AIEEE 2011]
  • A

    $\frac{{\pi {v^2}}}{g}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;$

  • B

    $\;\frac{{\pi {v^2}}}{{{g^2}}}$

  • C

    $\;\frac{{{\pi ^2}{v^2}}}{{{g^2}}}$

  • D

    $\;\frac{{\pi {v^4}}}{{{g^2}}}$

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