A conical tent is required to accommodate157 persons, each person must have `2 m^(2)` of space on the ground and `15 m^(3)` of air to breath. Find the height of the tent, also calculate the slant height.

Explanation

To solve the problem, we need to find the height and slant height of a conical tent that can accommodate 157 persons, with each person requiring a specific amount of ground space and air volume.

### Step-by-Step Solution:

1. **Calculate the Total Ground Area Required:**
Each person requires \(2 \, m^2\) of space. Therefore, for 157 persons:
\[
\text{Total Ground Area} = 157 \times 2 = 314 \, m^2
...