Given, area of the cloth to form conical tent =165 m2
Radius of the base of conical tent, r = 5 m
Curved surface area of conical tent = Area of cloth to form a conical tent
⇒πrl=165m2
⇒227×5×l =165
∴l=165×722×5=33×722=10.5 m
Now,height of the conical tent =√l2−r2=√(10.5)2−(5)2
=√110.25−25=√85.25=9.23 m
Volume of the cone (conical tent) =13πr2h=13×227×5×5×9.23
=13×1550×9.237=5076.57×3=241.7 m3
Hence, the volume of the cone (conical tent) is 241.7 m3.