The curved surface area of a sphere is 1386 $$cm ^2$$​ . The volume of this sphere is:

Correct option is B

Given:
The surface area of the sphere = 1386 cm2
Formula used:
Surface area of a sphere = $$4πr^2$$​​
Volume of a sphere = $$\frac{4 \pi r^3}{3}$$​​
Solution:
Surface area of a sphere = $$4πr^2$$​​
=> 4π$$r^2$$​ = 1386
=> 4 × $$\frac {22}{7} × r^2$$​ = 1386
=> r = $$\frac{21}{2}$$​ cm
Volume of a sphere = $$\frac{4 \pi r^3}{3}$$ 

​$$\Rightarrow \frac{4}{3} \times \frac{22}{7} \times \left( \frac{21}{2} \right)^3 \\\Rightarrow 4851 \, \text{cm}^3$$​​