Sand Is Pouring from a Pipe at the Rate of 10

question 106

Multiple Choice

Sand is pouring from a pipe at the rate of 10 cubic feet per second. If the falling sand forms a conical pile so that its height is always the diameter of the base, how fast is the height of the pile increasing when the height of the pile is 6 feet tall? Round answer to nearest hundredth.

• A) 0.18 ft/sec
• B) 0.06 ft/sec
• C) 0.24 ft/sec
• D) 0.02 ft/sec

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Definitions:

Money Market Fund

A type of mutual fund that invests in short-term, high-quality debt securities, offering investors liquidity and a low risk of loss.

Transfer Payments

Payments made by governments to individuals without any corresponding service or good being provided in return.

Property Income

Income earned from the ownership of assets like land, real estate, or stocks, often taking the form of rent, dividends, or interest.

Transfer Payments

Payments made by the government to individuals or organizations without requiring the recipient to provide goods or services in return, such as welfare or subsidies.