1) Water is flowing at a rate of 6 m^3/min from a reservoir shaped like a hemispherical bowl of radius 13 m, shown here in profile. Answer the following questions, given that the volume of water in a hemispherical bowl of radius are is V = (Pi / 3) y^2 (3R - y) when the water is Y meters deep
a) At what rate is the water level changing when the water is 8 meters deep?b) What is the radius r of the water's surface when the water is y meters deep?c) At what rate is the radius r changing when the water is 8 meters deep?