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