Question

Question 9
A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in his field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?

Answer 1

Radius of pipe = 10 cm = 0.1 m, length = 3000 m/h
Radius of tank = 5 m, depth = 2 m
Volume of water in 1 hr through pipe
$=\pi r^{2}h$
$=\pi \times {0.1}^2\times 3000$
$=30\pi m^3$
Volume of tank
$=\pi r^{2}h$
$=\pi \times 5^2\times 2$
$=50\pi m^3$
$Timetakentofillthetank=\frac{Volumeoftank}{Volumeofwaterin1hr}$
$=\frac{50\pi }{30\pi }=1hr67min$