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Probability

Question
CBSEENMA9003483

A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?

Solution

Requirement of water per head per day = 150 litres
∴ Requirement of water for the total population of the village per day
= 150 x 4000 litres
equals 600000 space litres space equals space 600000 over 1000 space straight m cubed
= 600 m3
For tank
l = 20 m b = 15 m h = 6 m Capacity of the tank
= 20 x 15 x 6 m= 1800 m3
∴ Number of days for which the water of this tank last
equals fraction numerator Capacity space of space the space work over denominator table row cell Requirement space of space water space for space the space total end cell row cell population space of space the space village space per space day end cell end table end fraction
equals space 1800 over 600 equals 3

= 600 m3

For tank
l = 20 m b = 15 m h = 6 m Capacity of the tank
= 20 x 15 x 6 m= 1800 m3
∴ Number of days for which the water of this tank last