An open cone is filled completely with water and is orientedwith its vertex facing downward. The cone has a base diameter of 6inches and a height of 12 inches. Assume the cone starts leakingwater from its vertex at a constant rate of 3? in3/hr.
a.Find an equation for the volume of water in this cone in termsof the height only.
b.Find the height of the water in the cone four hours after thewater started leaking.
c.Using correct units, find the rate of change in the height ofthe water in the cone at the time from 2b.
d.Using correct units, find the change of the cross-sectionalarea of the top of the water in the cone at the time from 2b.
