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.

---

Definitions:

Modified Accelerated Cost Recovery System

A method of depreciation in the U.S. tax code that allows for faster asset depreciation in the early years of the asset's life.

U.S. Federal Income Tax

The financial charge imposed annually by the Internal Revenue Service on the income of individuals, corporations, trusts, and various legal entities.

Depreciating Assets

Assets that lose value over time due to use, wear and tear, or obsolescence, such as machinery, vehicles, and buildings.