Q5 of 52 Page 145

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.

Since the volume of cuboid = length× breadth× height


⇒ Volume of cuboid = Product of the given three dimensions


⇒ Volume of cuboid = 44× 21× 12


Height of cone, H = 24 cm


Let Radius of cone be r


Volume of cone


As the cone is melted to form a cone,


⇒ Volume of cone = volume of cuboid



⇒ r = 21 cm


∴ The radius of the cone is 21 cm


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