Question

A cylindrical pipe has inner diameter of 4 cm and water flows through it at the rate of 20 metre per minute. How long would it take to fill a conical tank of radius 40 cm and depth 72cm?

Answer 1

`d= 4 cm`
rate=`20m/(min) = 200 (cm)/(min)`
`r= 2 cm`
volume= `pi*r^2*h `
`= pi * (2)^2 * 2000 (cm)/(min)`
volume of cone = `1/3 pi r^2 h`
`= 1/3 xx 22/7 xx (40)^2 xx 72`
`= 1/3 xx pi xx 1600 xx 72 cm^3`
time taken by the pipe=`(1/3 xx pi xx 1600 xx 72)/( pi xx 4 xx 2000)`
`25/5 min`
`4 min 48 sec`
Answer