ओ हेमिस्फेरिकल 10 डायमीटर 5 एमएम फुल ऑफ
Answers
Answer:
Given,
The diameter of hemispherical tank D=3 m
Hence, the radius of hemispherical tank R=
2
D
=1.5 m
The total volume of water in the hemispherical tank V=
3
2
πR
3
V=
3
2
×
7
22
×(1.5)
3
m
3
V=
21
44
×3.375 m
3
V=
21
148.5
m
3
V=
21
148500
liters ∵1 m
3
=1000 liter
Hence, the total volume of water in the hemispherical tank is
21
148500
liters
Volume of half-empty tank =
2
V
=
21
74250
liters
Now,
Given that time required to empty the tank by
7
25
liters of water =1 second
Hence, the time required to empty the tank by 1 liter of water =
25
7
second
Now, time taken to half-empty the tank
21
74250
liters of water =
25
7
×
21
74.25
seconds
=990 seconds
.
=16.5 minutes ∵1 minute=60 seconds
Hence, time taken to half-empty the tank is 16.5 minutes