If a solid piece of iron in the form of a cuboid of dimensions is moulded to form a solid sphere. Then, radius of the sphere is


As we know,


Volume of cuboid = lbh


where, l = length, b = breadth and h = height


For given cuboid,


Length, l = 49 cm


Breadth, b = 33 cm


Height, h = 24 cm


Volume of cube = 49×(33) × (24) cm3


Now,


Let the radius of cube be r.


As volume of sphere


where r = radius of sphere


Also,


Volume of cuboid = volume of sphere moulded



πr3 = 29106




r = 9261 cm = 21 cm


Hence, radius of sphere is 21 cm

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