The dimensions of a cuboid are 44 cm, 21 cm, 12 cm. It is melted and a cone of height 24 cm is made. Find the radius of its base.


Given length of cuboid , l = 44 cm
Breadth of cuboid ,b = 21 cm
Height of cuboid , h = 12cm
Volume of the cuboid , V = lbh
V = 44×21×12 = 11088cm3
Given Height of cone ,h = 24cm
Since cuboid is melted and a cone is made, the volume will be same.
Volume of cone = Volume of cuboid.
(1/3)r2h = 11088
(1/3)×(22/7)×r2×24 = 11088
r2 = 11088/8×(22/7)
r2 = 441
Taking square root
r = 21
Hence radius of the cone is 21 cm.

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