A cowboy at a ranch fills a water trough that is 1.5 meters long, 65 cm wide and 45 cm deep. He uses a hose having a diameter of 2 cm, and the water emerges from the hose at 1.5 m/s. How long does it take the cowboy to fill the trough?

Answer 1

Volume to fill, V, in m³
= 1.5m * 0.65m * 0.45m

Filling rate, f, in m³/s
=π(0.01)²*1.5

Time to fill, t, in seconds
= V/f