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 ?
Answer & explanation
Correct answer: option 1
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