Hey guys, I have a few questions from my homework that I'm having trouble with. I would really appreciate some help! Here goes...

1) Water is being poured into an inverted conical tank at a rate of 5000 cm^3/min. However, you also have a leak in your cone that is leaking water at a constant rate. The tank has height of 5m and the diameter at the top is 2m. If the water level is falling at a rate of 2cm.min when the height of the water is 1.5m, find the rate at which water is leaking out of your conical tank.

2) The radius of a sphere is increasing at a rate of 4mm/sec. How fast is the volume increasing when the diameter is 80mm? how fast is the surface area increasing for the same diameter?