A largest possible sphere is carved from a cube of side 14 cm. What is its volume in cm³?

Correct option is B

Given:
Side of cube = 14 cm.
Then radius of sphere = $$\frac{14}2$$​ = 7cm.
Formula Used:
Volume of sphere =$$\frac{4}3$$​  π$$r^3$$​​
Volume of cube = $$a^3$$​​
Solution:

​$$\text{Volume of sphere} = \frac{4}{3} \times \frac{22}{7} \times 7 \times 7 \times 7\\\ \\\text{Volume of sphere} = \frac{4}{3} \times 22 \times 7 \times 7\\\ \\\text{Volume of sphere} = \frac{4312}{3} = 1437 \frac{1}{3} \, \text{cm}^3\\\ \\$$​​