# 017 Review Problem - Amount of water to fill the large network of city pipes

**Problem 17**

Assuming that a city has 400 miles of water pipes and that the average diameter of the pies is 1 ft., how much water is required to fill this entire system?

**Solution 17**

$V = A_bL$

$V = \frac{1}{4}\pi(1^2)(400 \times 5280)$

$V = 528,000 ~ \text{ft.}^3$

$V = 528,000 ~ \text{ft.}^3 \times \dfrac{7.48 ~ \text{gal.}}{1 ~ \text{ft.}^3}$

$V = 12,407,531.69 ~ \text{gal.}$ *answer*

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