Q.) A hemispherical tank, of diameter 3 m, is full of water. It is being emptied by a pipe at the rate of 25/7 litre per second How much time will it take to make the tank half empty.
A small village having a population of 10,000 requires 80 litres of water per head per day.The village has got an overhead tank of measurement 40 m × 25 m × 15 m.For how many days will the water of this tank last
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Hey mate
Here is your answer,
volume of tank = ⅔πr²
=
[tex] \frac{2}{3} \times \frac{22}{7} \times ( \frac{3}{2} ) \times ( \frac{3}{2} )[/tex]
[tex] = \frac{99}{14} {m}^{2} [/tex]
[tex] = 1000 \times \frac{99}{14} [/tex]
[tex] = \frac{99000}{14} litres[/tex]
volume of water to be emptied =½×
volume of tank = ½×
[tex] \frac{99000}{28} [/tex]
Time taken to empty ²⁵/⁷litres = 1sec
time taken to empty 1 litres = ⁷/²⁵ sec
time taken to empty ⁹⁹⁰⁰⁰/⁸litres = ⁷/²⁵×⁹⁹⁰⁰⁰/²⁸ sc
[tex] \frac{693000}{700} sec[/tex]
[tex] \frac{990}{60} min[/tex]
=>16.5 min..
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Answer:
A small village having a population of 10,000 requires 80 litres of water per head per day.The village has got an overhead tank of measurement 40 m × 25 m × 15 m.For how many days will the water of this tank last