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Question

Question 3 (ii)
A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5 m.

(i) Find the volume of the cone.

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Solution

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 =l2r2=(10.5)2(5)2
=110.2525=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.


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