A) 20m
B) 15m
C) 12m
D) 30m
Correct Answer: B
Solution :
Total number of people = 150 Space required for each person on the ground \[=4\,{{m}^{2}}\] Area of base of the cone \[=150\times 4\] \[\Rightarrow \] \[\pi {{r}^{2}}=600\,\,\Rightarrow \,\,{{r}^{2}}=\frac{2100}{11}\] Volume of air required by 150 persons \[=150\times 20\]. \[\Rightarrow \] \[\frac{1}{3}\pi {{r}^{2}}h=3000\Rightarrow \frac{1}{3}\times \frac{22}{7}\times \frac{2100}{11}\times h=3000\] \[\Rightarrow \] \[200h=3000\,\,\Rightarrow \,\,h=15\,m\]
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