A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5m.

(i) How many students can sit in the tent, if a student on an average occupies 5/7 m2 on the ground?


(ii) Find the volume of the cone.


Given: Area of cloth = 165m2

Radius of conical tent = 5m



Curved surface area of cone = πrl


Where,


r = radius of a cone


l = slant height of a cone


Thus,




i)



Thus,


ii) Now, By using formula we can find height of a cone i.e.


r2 + h2 = l2 where r=radius of a cone


h=height of a cone


l=slant height of a cone


(5)2 + h2 = (10.5)2


25+ h2 = 110.25


h2 = 110.25 – 25 = 85.25


h = √85.25 = 9.23 m



Where


r = radius of base of a cone


h = height of a cone


Thus,


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