It is required to fix a pipe such that water flowing through it at a…

Question

It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 440 cubic metres in 10 minutes. The inner radius of the pipe should be :

Accepted Answer

Option A. 2 \,m. Answer & Solution Answer: Option A Solution: Let the inner radius of the pipe be r metres Then, Volume of water flowing through the pipe in 10 minutes : & = [ ( 227 × r^2 × 7 ) × 10 ]m^3 & = ( 220r^2 )m^3 & 220r^2 = 440 & r^2 = 2 & r = 2 \, m