Question

a swimming pool 70m*44m*3m is filled by water issuing from a pipe of diameter 35cm at 6m per second. How many hours does it take to fill the pool...please a humble request , solve it step by step​

Answer 1

Answer:

Length of a swimming pool(1)= 70 m

Breadth of a swimming pool(b)= 44 m

Height of a swimming pool(h)= 3 m

Diameter of pipe(d)=35 cm

Radius of pipe(r) = d/2= 35/2= 17.5 cm= = 17.5/100= 0.175 m

Length of water(h) flowing in a pipe in x seconds = 6x

Capacity of swimming pool= Ix b×h

Volume of pipe=πr^2h

Volume of water flowing through cylindrical pipe=Capacity of swimming pool

πr^2h=l*b*h

22/7*(0.175)^2*6x*x=70*44*3

22/*0.175*0.175*6x =70x44x3

x= (70*44*3"7)/ (22*0.175*0.175*6)

x= 10000000/25x25= 10000000/625

x= 16000 sec

x= 16000/3600 hrs

x= 40/9 hrs= 4 4/9 hrs

Hence, the pipe takes 4 4/9 hrs to fill the swimming pool.