Q10 of 67 Page 193

The circumference of the base of a 9 m high cone is 44 m. Find the volume of air present in it.

Height of cone = h = 9 m


Circumference of base of cone = 44 m


Let r be the radius of base of cone


Circumference of base of cone = 2πr


⇒ 2πr = 44


⇒ πr = 22


⇒ × r = 22


⇒ r =


⇒ r = 7 m


Volume of air present inside the cone = volume of cone


Volume of cone = πr2h


= × × 72 × 9


= 22 × 7 × 3


= 462 m3


Therefore, volume of air inside cone is 462 m3


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