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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?
Solution
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.
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