Question

A cloth having an area of 165 m² is shaped into the form of a conical tent of radius 5 m. How many students can sit in the tent if a student, on an average, occupies `5/7` m² on the ground?

Answer 1

Given: Radius of the base of a conical tent = 5 cm

Area needs to sit a student on the ground = `5/7` m²

So, area of the base of a conical tent = `pir^2`

= `22/7 xx 5 xx 5  m^2`

Now, number of students = `"Area of the base of a conical tent"/"Area needs to sit a student on the ground"`

= `((22 xx 5 xx 5)/7)/(5/7)`

= `22/7 xx 5 xx 5 xx 7/5`

= 110

Hence, 110 students can sit in the conical tent.