Correct option is A

Given:

Diameter of the sphere = 14 cm

Radius (r) = $$\frac{Diameter }{ 2 }= \frac{14}{2} = 7 cm$$​​

π = $$\frac{22}{7}$$​​

Formula Used:

The formula for the volume of a sphere is:

V = (4/3) × π × r³

Solution:

Substitute the values into the formula:

​$$V = (\frac{4}{3}) × (\frac{22}{7}) × 7³ \\\ \\V = (\frac{4}{3}) × (\frac{22}{7}) × 343 \\\ \\V = \frac{(4 × 22 × 343) }{ (3 × 7)}\\\ \\V = \frac{30184 }{21 }\\\ \\V = 1437\frac{1}{3}\ cm^3$$​​