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 :

Question

( A ) $\pi \frac{v^4}{g}$
( B ) $\pi \frac{v^2}{g^2}$
( C ) $\pi \frac{v^4}{g^2}$
( D ) $\frac{\pi}{2} \frac{v^4}{g^2}$