Question

A rectangular tank is 80 m long and 25 m broad. Water flows into it through a pipe whose cross-section is 25 cm², at the rate of 16 km per hour. How much the level of the water rise in the tank in 45 minutes.

Answer 1

Given,

Dimension of rectangular tank = 80m × 25m = 8000cm × 2500cm

Cross section area of pipe = 25 cm²

Rate of flow of water through pipe = 16 km/h

Length of pipe = flow of water through it in 45 minute at speed 16 km/h

\(=\cfrac{45}{60}\times16\times1000\times100\) cm

Volume of pipe = \(=\cfrac{45}{60}\times16\times1000\times100\) cm³

 = h = \(\cfrac{16000\times100\times45\times25}{60\times8000\times2500}\) = 1.5 cm