Assume That Water Is Being Purified by Causing It to Flow

Multiple Choice

Assume that water is being purified by causing it to flow through a conical filter that has a height of 5 inches and a radius of 4 inches. If the depth of the water is decreasing at a rate of 3 inches per minute when the depth is 4 inches, at what rate is the volume of water flowing out of the filter at this instant? Round your answer to two decimal places. ​

A) The water is flowing out at the approximate rate of 96.51 in³ per minute.
B) The water is flowing out at the approximate rate of 289.53 in³ per minute.
C) The water is flowing out at the approximate rate of 74.39 in³ per minute.
D) The water is flowing out at the approximate rate of 52.28 in³ per minute.
E) The water is flowing out at the approximate rate of 70.62 in³ per minute.