Question

Question 3 (i)
A cloth having an area of $165m^2$ 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 $\frac{5}{7}{m}^2$ on the ground?

Answer 1

Given, radius of the base of conical tent = 5 m
$\therefore$ Area of the base of a conical tent $=\pi r^2$
$=\frac{22}{7}\times 5\times 5m^2$
Area occuppied by a student $=\frac{5}{7}{m}^2$
Now, number of students $=\frac{Areaofthebaseofconicaltent}{Areaoccuppiedbyastudent}$
$=\frac{\frac{22\times 5\times 5}{7}}{\frac{5}{7}}=\frac{22}{7}\times 5\times 5\times \frac{7}{5}=110$
Hence, 110 students can sit in the conical tent.