Question

A cloth having an area of 165 metre square is shaped into a form of conical tent of radius 5m. how many students can sit in the tent of a student occupies 5/7 metre square on the ground

Answer 1

volume of cone is 241.816 m3

110 students can occupy the ground

height is 9.233m if needed

Answer 2

Given

Curved surace area of cone = $165\ \text{m}^2$

r = Radius of base = 5 m

Area that a person occupies is $\dfrac{5}{7}\ \text{m}^2$

To find

Number of people that can sit on the ground in the tent

Solution

Area of the circular base is

$\pi r^2=\pi 5^2\\ =78.54\ \text{m}^2$

Number of people that sit on the base will be the area of the base divided by the area that one person requires

$\dfrac{78.54}{\dfrac{5}{7}}=109.956\approx 110$

So, the number of people that can sit on the base of the tent is approximately 110.