The volume flow rate of a liquid is calculated by allowing the liquid to flow into a cylindrical tank (stood on its flat end) and measuring the height of the liquid surface before and after the liquid...

The volume flow rate of a liquid is calculated by allowing the liquid to flow into a

cylindrical tank (stood on its flat end) and measuring the height of the liquid surface

before and after the liquid has flowed for 10 minutes. The volume collected after

10 minutes is given by:

Volume ¼ ðh2 h1Þpðd=2Þ

2

where h1 and h2 are the starting and finishing surface heights and d is the measured

diameter of the tank.

(a) If h1 ¼ 2 m, h2 ¼ 3 m, and d ¼ 2 m, calculate the volume flow rate in m3

/min.

(b) If the possible error in each measurement h1, h2, and d is 1%, determine the

likely maximum possible error in the calculated value of volume flow rate. (It is

assumed that there is negligible error in the time measurement.)