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Ex 13.5, 6 - A village, having a population of 4000 requires - Ex 13.5

Ex 13.5, 6 - Chapter 13 Class 9 Surface Areas and Volumes - Part 2

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Ex 13.5, 6 A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m Γ— 15 m Γ— 6 m. For how many days will the water of this tank last? Number of days water will last = (π‘‰π‘œπ‘™π‘’π‘šπ‘’ π‘œπ‘“ π‘‘π‘Žπ‘›π‘˜ )/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘€π‘Žπ‘‘π‘’π‘Ÿ π‘Ÿπ‘’π‘žπ‘’π‘–π‘Ÿπ‘’π‘‘ π‘π‘’π‘Ÿ π‘‘π‘Žπ‘¦) Here, 𝑙 = 20 m, b = 15 m and h = 6 m. Volume of the tank = 𝑙 Γ— b Γ— h = (20 Γ— 15 Γ—6) m3 = 1800 m3 Water required per person per day = 150 litres Water required for 4000 person per day = (4000 Γ— 150) litres = 4000 Γ— 150 Γ— (1/1000) m3 = 600 m3 Number of days water will last = (πΆπ‘Žπ‘π‘Žπ‘π‘–π‘‘π‘¦ π‘œπ‘“ π‘‘π‘Žπ‘›π‘˜ )/(π‘‘π‘œπ‘‘π‘Žπ‘™ π‘€π‘Žπ‘‘π‘’π‘Ÿ π‘Ÿπ‘’π‘žπ‘’π‘–π‘Ÿπ‘’π‘‘ π‘π‘’π‘Ÿ π‘‘π‘Žπ‘¦) = ((1800 π‘š3)/(600 π‘š3)) = 30 Thus, the water will last for 30 days. Number of days water will last = (π‘‰π‘œπ‘™π‘’π‘šπ‘’ π‘œπ‘“ π‘‘π‘Žπ‘›π‘˜ )/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘€π‘Žπ‘‘π‘’π‘Ÿ π‘Ÿπ‘’π‘žπ‘’π‘–π‘Ÿπ‘’π‘‘ π‘π‘’π‘Ÿ π‘‘π‘Žπ‘¦) = ((1800 π‘š3)/(600 π‘š3)) = 3 Thus, the water will last for 3 days.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.