Water is leaking out the bottom of a hemispherical tank of

Last updated: 7/16/2022

Water is leaking out the bottom of a hemispherical tank of radius 8 feet at a rate of 2 cubic feet per hour. The tank was full at a certain time. How fast is the water level changing when its height h is 3 feet? Note: the volume of a segment of height h in a hemisphere of radius r is xh [r-(h/3)] The water level is changing at a rate of t/hr when its heighth is 3 feet.