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A small village, having a population of 5000, requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m × 25 m × 15 m. - Mathematics

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Question

A small village, having a population of 5000, requires 75 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?

Sum

Solution

Given, total population of a small village = 5000

Water required per head per day = 75 L

Volume of water required for a small village per day = 5000 × 75 = 375000 L

= `375000/1000 m^3`  ...[∵ 1 m3 = 1000 L]

= 375 m3   

Total capacity of water in overhead tank = Volume of overhead tank

= 40 × 25 × 15

= 15000 m3

∴ Number of days = `"Total capacity of water in over speed tank"/"Volume of water required for a small village per day"`

= `15000/375`

= 40 days

Hence, water of this tank will be last in 40 days.

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Chapter 13: Surface Area & Volumes - Exercise 13.3 [Page 127]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 13 Surface Area & Volumes
Exercise 13.3 | Q 8. | Page 127

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