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:

A

$$\pi \dfrac{v^4}{g^2}$$

B

$$\dfrac{\pi}{2} \dfrac{v^4}{g^2}$$

C

$$\pi \dfrac{v^2}{g^2}$$

D

$$\pi \dfrac{v^4}{g}$$