The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube ?

91.98 cm³

We know that,

The volume of the sphere = \(\frac{4}{3}\) × π × r³

We have,

Edge of the cube = 5.6 cm

We also know that,Diameter of the sphere = Edge of the cube

The radius of sphere = \(\frac{5.6}{2}\) = 2.8 cm

The volume of the sphere = \(\frac{4}{3}\) × \(\frac{22}{7}\) × (2.8)³ = \(\frac{88}{21}\) × 21.952 = 91.9