A swimming pool 70m×44m ×3m is filled by water issuing from a pipe of diemeter 35cm at 6m per second. How many hours does it take to fill the pool?
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Answer:
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nikitasingh79
nikitasingh79 Genius
Given :
Length of a swimming pool(l)= 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= .175 m
Length of water(h) flowing in a pipe in x seconds = 6 x
Capacity of swimming pool= l× b×h
Volume of pipe = πr²h
Volume of water flowing through a cylindrical pipe =Capacity of swimming pool
πr²h= l× b×h
22/7×(.175)²×6 × x =70×44×3
22/7×.175 × .175×6x =70×44×3
x= (70× 44× 3× 7) / ( 22× .175× .175 × 6)
x= 10000000/25×25= 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.
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Answer:
Given :
Length of a swimming pool(l)= 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= .175 m
Length of water(h) flowing in a pipe in x seconds = 6 x
Capacity of swimming pool= l× b×h
Volume of pipe = πr²h
Volume of water flowing through a cylindrical pipe =Capacity of swimming pool
πr²h= l× b×h
22/7×(.175)²×6 × x =70×44×3
22/7×.175 × .175×6x =70×44×3
x= (70× 44× 3× 7) / ( 22× .175× .175 × 6)
x= 10000000/25×25= 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.
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