Assume That Water Is Being Purified by Causing It to Flow

question 98

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.

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