A cloth having an area of 165 m sq. is -Maths 9th

A cloth having an area of 165 m sq. is -Maths 9th
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Let l m be the height of the conical tent.  Radius of the base of conical tent (r) = 5 m (i) Area of the circular base of the cone = πr2 = 22/7 x 52 m2 Number of students =  Area of the base/ Area occupied by one student  = 22/7 x 5 x 5 m2/ 5/7 m2 = 22/7 x 5 x 5 x 7/5 = 110 (ii) Also, curved surface area of cone = πrl  ⇒ 165 = 22/7 x 5 x l ⇒  l = 165 x 7/22 x 5  ⇒ l = 21/2 m = 10.5 m Also,  h2 = l2 - r2 ⇒  h = root under(√(10.5)2 - 52) = root under(√15.5 x 5.5)  = root under(√85.25) ~ 9.23 cm Volume of conical tent = 1/3πr2h = 1/3 x 22/7 x 52 x 9.23 m3 = 241.74 m3
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