Question

ओ हेमिस्फेरिकल 10 डायमीटर 5 एमएम फुल ऑफ​

Answer 1

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