# What will be the Height of Cone? If

5 person will live in a tent. If each person requires 16m^{2} of floor area and 100 m^{3} space for air then the height of the cone of smallest size to accommodate those persons would be:

- 20 m
- 18.75 m
- 16 m
- 10.25 m

**Answer: (3) 18.75 m**

**Explanation:-
**5 persons will be required = 5 x 16

Then, Pai x r

^{2}= 80

And 5 persons will need 100 x 5m^{3}

Then, pai x r^{2}h/3 = 500

Therefore, h = 500 x 3/pai x r^{2} = 500 x 3/5 x 16

= 18.75

Hence, the answer is (3) 18.75 m.