Question

Water runs into a cylindrical tank , of diameter 4 m and height 5 m , through a pipe of radius 2 cm ,

at the rate of 1/10 m per second . Find the time taken by the tank to fill up .

Answer 1

here you go ☆☆

let time taken= n

▪cylinder:-
r1=2
h1=5

▪pipe:-
r=0.2
h=1

$n \times volume \: of \: pipe = volume \: of \: tank$

$n \times \pi {r}^{2} h = \pi {r1}^{2} h1$

$n \times \frac{22}{7} \times {0.2}^{2} \times 1 = \frac{22}{7} \times {2}^{2} \times 5$

$n \times 0.04 = 4 \times 5$

$n = 20 \times \frac{100}{4}$

$n = 500$


time= 500 seconds

hope it helps you.....