Question

water is flowing at the rate of 2.52 km/h through a cylindrical pipe into a cylindrical tank, the radius of whose base is 40 cm, If the increase in the level of water in the tank, in half an hour is 3.15 m, find the internal diameter of th pipe.

Answer 1

water following rate `=2.52km(hr) `
`=2520m(hr)`
length in 1 hour`=2520 m`
radius of pipe`=r m`
radius of tank`40cm =4/10m`
height in halfn hour`=3.15m`
In 1 hr `=2xx3.15=6.30m`
volume of pipe = volume of tank``
`pixxr^2xx2520=pixx4/10xx4/10xx6.3`
`r^2=4/10xx4/10xx6.3xx2520`
`r^2=4/10000`
`r=2/100m`
Diameter`=2xxr`
`=4/(100)xx100`
Diameter`=4cm`