Question

A cloth having an area of 165 meter sq is shaped into the form of a conical tent of radius 5 m. How many students can sit in the tent if a student occupies 5/7 meter sq on ground. plz help exam time.

Answer 1

hey
_______________

total no of student can sit in the tent =

area of base
_____________
area occupied by 1 student

πr^2
________
5/7

22/7×5×5
__________
5/7

•110 students

refer to the attachment for diagram

hope helped
_________________

Answer 2

Answer: There are 110 students who can sit in the tent.

Step-by-step explanation:

Since we have given that

Radius of conical tent = 5 m

We need to find the "Number of students who can sit in the tent if a student occupies $\frac{5}{7}\ m^2$ on ground."

So, we need to find the area of ground which is in shape of circle in case of cone.

As we know that the base of cone is circle.

So, Area of base of cone (ground) is given by

$\pi r^2\\\\=\frac{22}{7}\times 5\times 5\\\\=\frac{550}{7}$

So, Number of student who can sit in the tent is given by

$\frac{\text{Area of base}}{\frac{5}{7}}\\\\=\frac{\frac{550}{7}}{\frac{5}{7}}\\\\=\frac{550\times 7}{5\times 7}\\\\=\frac{550}{5}\\\\=110$

Hence, there are 110 students who can sit in the tent.