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, 
3