A cloth having an area of `165` `m^(2)` is shaped into the form of a conical tent of radius `5` `m`.
(i) How many students can sit in the tent, if a student on an average occupies `(5)/(7)m^(2)` on the ground ?
(ii) Find the volume of the cone.

Explanation

To solve the problem step by step, we will break it down into two parts as per the question.

### Part (i): Finding the number of students that can sit in the tent

1. **Calculate the area of the base of the conical tent**:
The base of the conical tent is circular, and the area \( A \) of a circle is given by the formula:
\[
A = \pi r^2
...