Question 181

5 persons will live in a tent. If each person requires 16m2 of floor area and 100m3 space for air then the height of the cone of smallest size to accommodate these persons would be

Solution

Floor area required for 5 persons = 16*5 = 80 $$m^2$$

Air space required for 5 persons = 100*5 = 500 $$m^3$$

Cone volume = $$\frac{1}{3} \pi r^2h$$

Let height be $$h$$

For smallest size, volume = 500 = $$\frac{1}{3} * 80 * h$$

=> $$h = \frac{150}{8}$$ = 18.75 m

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