If a solid piece of iron in the form of a cuboid, of dimensions 49 cm × 33 cm × 24 cm, is moulded to form a solid sphere, then the radius of the sphere is ______. [Use $π = \frac{22}{7}$]
Answer & explanation
Correct answer: option 4
We know that,
The volume of a cuboid = multiply of all the sides
The volume of a sphere = \(\frac{4}{3}\) × π × r3,
Cuboid’s dimension = 49 cm × 33 cm × 24 cm
= \(\frac{4}{3}\) × π × r3 = 49 × 33 × 24
= r3 = 9261
= r = 21