Q10 of 79 Page 238

The circumference of the base of a 12 m high wooden solid cone is 44 m. Find the volume.

GIVEN:


Height of the cone = 12m
circumference of the base = 44m


we take π =


TO FIND : volume of the cone = ?


PROCEDURE :


As we know the circumference of the cone = 2π r


2π r = 44


r = = = = = 7cm


now, as we know that, volume of cone “V” = × π r2h


putting all the values in the above formula, we get


V = × π × (7)2× (12)


= × × 49 × 12


= × 22 × 7 × 12


= 22 × 7× 4


= 616 cm3


∴ volume of the given cone is 616 cm3


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