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Question
A swimming pool is 200 m by 50 m and has an average depth of 2 m. By the end of a summer day, the water level drops by 2 cm. How many cubic metres of water is lost on the day?
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Solution
Dimensions of swimming pool are 200 m × 50 m.
Average depth of the swimming pool = 2 m
At the end of summer day the water level drops by 2 cm.
∴ Volume of water in swimming pool = Length × Breadth × Depth
= 200 × 50 × 2
= 20000 m3
If water level drops by 2 cm, it means new level of water
= `(2 - 2/100)m` ...`[∵ 1 cm = 1/100 m]`
= 1.98 m
Volume of water after summer day = 200 × 50 × 1.98
= 19800 m3
So, water in cubic metres was lost on that day
= Initial volume – Volume after summer day
= 20000 – 19800
= 200 m3
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