The curved surface area of a sphere is 1386 $$cm^2$$​. Find the volume of the sphere. [Use $$\pi = \frac{22}{7}$$​ ]

Correct option is D

Given:

Curved surface area of sphere =$$1386cm^2$$​​

Formula Used:

Curved surface area of sphere=$$4\pi r^2$$​​

Volume of sphere =$$\frac{4}{3}\pi r^3$$​​

Solution:

Surface area = $$4\pi r^2 = 1386$$​​

​$$4 \times \frac{22}{7} \times r^2 = 1386$$​​

​$$r^2= \frac{1386 \times 7}{22\times 4}$$​​

​$$r= \sqrt{\frac{441}{4}}$$​​

r = 10.5cm 

Now, 

Volume = $$\frac{4}{3}\pi (10.5)^3$$​​

​$$= \frac{4}{3}\times \frac{22}{7}\times (10.5)^3$$​​

​$$=4851\ cm^3$$​​