**Problem 24**

A pipe of 3/4-in. inside diameter conducts water from a spring to a house 300 ft. distant. It is desired to empty the pipe after the water has been turned off the spring. Will a 10-qt. pail hold the water? (One gal. = 231 cu. in.)

**Solution 24**

Volume of water inside the pipe:

$V = \frac{1}{4}\pi(\frac{3}{4})^2(300 \times 12)$

$V = \frac{1}{4}\pi(\frac{3}{4})^2(300 \times 12)$

$V = 506.25\pi ~ \text{in.}^3$

$V = 506.25\pi ~ \text{in.}^3 \times \dfrac{1 ~ \text{gallon}}{231 ~ \text{in.}^3}$

$V = 6.885 ~ \text{gallons}$

$V = 6.885 ~ \text{gallons} \times \dfrac{4 ~ \text{quarts}}{1 ~ \text{gallon}}$

$V = 27.54 ~ \text{quarts}$

Therefore, the 10-qt. pail cannot hold all the water in the pipe. The answer is NO.

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