Question 447171
As you know the surface are of the sphere is given by the formula:

{{{A=4*pi*r^2}}}, substituting we get:{{{100*pi=4*pi*r^2}}}=>{{{r^2=25}}}=> 

{{{r=5}}}cm, since we know the radius easy can find the volume by the formula:

{{{V=(4/3)*pi*r^3}}}, substituting we get:{{{V=(4/3)*pi*5^3}}}=>

=>{{{V=(500*pi/3)cm^3}}}.