We know that volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²) and surface area of sphere=4*pi*r² so the volume of a sphere=(r/3)*surface area of sphere therefore if r=3 volume of a sphere=(3/3)*surface area of sphere volume of a sphere=surface area of sphere
if r> 3 the term (r/3) is > 0 so volume of a sphere > surface area of sphere
if r<3 the term (r/3) is < 0 so volume of a sphere < surface area of sphere
examples 1) for radius r=3 units volume of a sphere=(4/3)*pi*3³----> 113.04 unit³ surface area=4*pi*3²----> 113.04 units² volume is equal to surface area
2) for radius r=10 units volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³ surface area=4*pi*10²----> 1256 units² volume is > surface area
3) for radius r=2 units volume of a sphere=(4/3)*pi*2³----> 33.49 unit³ surface area=4*pi*2²----> 50.24 units² volume is < surface area
To start off, you have to change 2/3 into 3/2 and then multiply it by 3/4. (Which the equation becomes into 3/4 × 3/2.) Then solve 3/4 × 3/2 =9/8 or 1 and 1/8.
