A conical water tank with vertex down has a radius of 14 feet at the top and is 27 feet high. If water flows into the tank at a rate of 30 ft3/min, how fast is the depth of the water increasing when the water is 12 feet deep?

(c) a vine called the mile-a-minute weed is known for growing at a very fast rate. it can grow up to 0.5 ft per day. how fast in inches per hour can the mile-a-minute weed grow up to? show your work using the correct conversion factors.