Answer :

Given: Dimension of cuboid (49 cm × 33 cm × 24 cm)


Volume of cuboid is : length × breadth × height


Volume of Solid Sphere is : × π × r3 (here r is radius of the sphere)


Let v1 be the volume of given cuboid.


v1 = 49 cm × 33 cm × 24 cm = 38808 cm3


Let v2 be the volume of Solid Sphere.


We know that when a object is moulded from one shape to other its volume does not change.


v1=v2


That is,


38808 = × π × r3


r3 = × 38808


r3 = 9261 r = 9261 = 21


r = 21cm


That is, radius of the Solid sphere = 21cm

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