The outer and the inner surface areas of a spherical copper shell are 576\(\pi\) \(cm^2\) and 324\(\pi\) \(cm^2\) respectively. Find the volume of the material required to make the shell.
 
Answer:
The surface area of the sphere is given by sq.units
 
Let \(r\) and \(R\) be the inner and outer radius of a copper shell.
 
The outer radius \(R\) of a copper shell is \(cm\).
 
The inner radius \(r\) of a copper shell is \(cm\).
 
Volume of a hollow sphere is given by cu.units.
 
The volume of the material required \(=\) \(cm^3\)
[Note: Enter your answer upto two decimal places.]