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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 57 m2 on the ground? - Mathematics

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प्रश्न

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?

योग

उत्तर

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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अध्याय 13: Surface Area & Volumes - Exercise 13.4 [पृष्ठ १२८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
अध्याय 13 Surface Area & Volumes
Exercise 13.4 | Q 3. (i) | पृष्ठ १२८

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