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:\\
(1) $\pi \frac{v^{4}}{g^{2}}$\\
(2) $\frac{\pi}{2}\frac{v^{4}}{g^{2}}$\\
(3) $\pi \frac{v^{2}}{g^{2}}$\\
(4) $\pi \frac{v^{4}}{g}$