In a certain fountain, water flows from the top of a 10m tower down to a basin, from which it is pumped through a pipe back to the top of the tower. The pipe has a radius of 4 cm at the bottom and fans out at the top to a radius of 20 cm. The water is traveling at 5m/s at the bottom of the fountain.
(9) How fast is the water traveling at the top of the fountain?
The final velocity of the water is given by the continuity equation:
