Question: A cone-shaped coffee filter of radius 6 cm and depth 10 cm contains water, which drips out through a hole at the bottom at a constant rate of 1.5 cm3 per second.
(a) If the filter starts out full, how long does it take to empty?
(b) Find the volume of water in the filter when the depth of the water is h cm.
(c) How fast is the water level falling when the depth is 8 cm?