When Water Runs Out of a Hole in a Cylindrical $h = 0.0005 x ^ { 2 } - 0.17 x + 8$

question 225

Multiple Choice

When water runs out of a hole in a cylindrical container, the height of the water in the container can often be modeled by a quadratic function. Assume that the height of the water in a particular metal can with a small hole can be modeled by $h = 0.0005 x ^ { 2 } - 0.17 x + 8$ , where x is the time (sec) and h is the height (cm) . Use the quadratic formula to estimate
The time when the height is 5 cm. Round your answer to the nearest second.

• A) 26 sec
• B) 19 sec
• C) 25 sec
• D) 23 sec

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Definitions:

N-Butylamine

A primary amine with the formula CH3(CH2)3NH2, used in various industrial and chemical processes.

Diethylamine

An organic compound, a secondary amine with the formula (C2H5)2NH, widely used as a building block in organic synthesis.

Pentanal

A five-carbon straight-chain aldehyde with the formula C5H10O, characterized by having a terminal carbonyl group.

Ethylamine

A simple organic compound (C2H5NH2) characterized by an ethyl group attached to an amine group, used in chemical synthesis.