Question : 2 cm of rain has fallen on a square km of land. Assuming that 50% of the raindrops could have been collected and contained in a pool having a 100 m × 10 m base, by what level would the water level in the pool have increased?
Option 1: 1 km
Option 2: 10 m
Option 3: 10 cm
Option 4: 1 m
Correct Answer: 10 m
Solution :
The volume of rainwater received by the land
= Area of the base × height
= $1000 \times 1000 \times \frac{2}{100}$
= $20000$ m
3
Volume of 50% of raindrop stored in the pool = $\frac{20000}{2}$ = 10000 m
3
$\therefore$ Required water level in pool increased $=\frac{\text{Volume of raindrop stored}}{\text{Area of base of pool}}=\frac{10000}{100\times10}= 10$ m
Hence, the correct answer is 10 m.
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