Surface are of a sphere ( the globe in this case) is given by:-
color(red)(S = 4*pi*r^2) where r is radius of sphere.
The volume of a sphere is given by:-
color(red)(V = 4/3*pi*r^3) where r is the radius of sphere.
Given that pi = 3.
Surface area is 2700 cm^2.
therefore 4*pi*r^2 = 2700
=> 4*3*r^2 = 2700
=>r^2 = 2700/(3*4) = 900/4
=> r = sqrt(900/4) = 30/2 = 15cm.
Method 1.
Now volume is 4/3*pi*r^3
therefore V = 4/3*3*15^3 = 4*3375 = 13500cm^3
Method 2.
S = 4*pi*r^2 ------------------(1.)
V = 4/3*pi*r^3 ------------------(2.)
Dividing equations (1.) & (2.)
S/V = (4*cancelpi*r^2)/(4/3*cancelpi*r^3) = 3/r
=> S/V = 3/r
=> V = (S*r)/3 = (2700*15)/3 = 13500cm^3