4.1

Consider a pool shaped like the bottom half of a sphere, that is being filled at a rate of 20 ft3/min. The radius of the pool is 11 ft. The formula for the volume of a partial hemisphere is V = "" (3r2+ h2) where h is the height of the water and r is the radius of the water. Find the rate (in ft/min) at which the depth of the water is changing when the water has a depth of 2 ft. ft/min X