Examveda
Examveda

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A. 75 cu. m

B. 750 cu. m

C. 7500 cu. m

D. 75000 cu. m

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {\text{1}}\,{\text{hectare}} = 10000\,{m^2} \cr & {\text{So,}}\,{\text{Area}} = \left( {1.5 \times 10000} \right){m^2} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15000\,{m^2} \cr & {\text{Depth}} = \frac{5}{{100}}m = \frac{1}{{20}}m \cr & \therefore {\text{Volume}} = \left( {{\text{Area}}\, \times \,{\text{Depth}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {15000 \times \frac{1}{{20}}} \right){m^3} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 750\,{m^3} \cr} $$

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