A 36 cm long, 22 cm broad, and 49 cm high cuboid is melted and moulded into a solid sphere. What will be the radius of this sphere? [Use π = $\frac{22}{7}$]

21 cm

We know that,

Volume of cuboid = lbh

Volume of sphere = \(\frac{4}{3}\)πr³

We have,

Length of the cuboid  = 36 cm 

Breadth = 22 cm 

Height = 49 cm

According to the question,

 lbh = \(\frac{4}{3}\)πr³

(\(\frac{4}{3}\)) × (\(\frac{22}{7}\)) × r³ = 36 × 22 × 49 

= r³ = (27 × 49 × 7)

= r = 21