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A conical tent is to accommodate $10$ persons. Each person must have $6$ $m$$^{2}$ space to sit and $30$ $m$$^{2}$ of air to breath. What will be height of cone ?

- $37.5$ $m$
- $150$ $m$
- $75$ $m$
- $15$ $m$

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**Answer:**

15 m

**Step-by-step explanation:**

Area required by one person = 6 sq.m.

Area required by 10 persons =

**So, Area of base conical tent = 60 sq.m.**

**Formula of Area of base of cone = **

**So, **

Volume of cone =

=

Air required by 1 person = 30 cubic m

Air required by 10 person =

So, Volume of cone =

**So, **

** **

**Hence the height of the cone is approximately 15 m**