Find the volume of a right circular cone with :

(i) radius 6 cm, height 7 cm.


(ii) radius 3.5 cm, height 12 cm


(iii) height 21 cm and slant height 28 cm.

i) we have,


Radius of cone = 6 cm


Height of cone = 7 cm


So, volume of cone = πr2h = 1/3 × 22/7 ×36×7 = 264 cm3


ii) we have,


radius = 3.5 cm


height = 12 cm


volume of cone = 1/3×22/7×3.5×3.5×12 = 154 cm3


iii) we have,


height = 21 cm


slant height = 28 cm


radius r = √(282-212) = √49×7 = 7√7 cm


volume of cone = 1/3×22/7×7√7×7√7×21 = 7546 cm3


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