Question 954120
Volume={{{(4/3)(pi)r^3}}}
Surface area={{{4(pi)r^2}}}
Set equations equal and solve for r:
{{{(4/3)(pi)r^3=4(pi)r^2}}} Divide each side by {{{4(pi)r^2}}}
{{{(1/3)r=1}}} Multiply each side by 3
{{{r=3}}} ANSWER: The radius of the sphere is 3 cm.
CHECK:
{{{(4/3)(pi)r^3=4(pi)r^2}}} 
{{{(4/3)(pi)(3^3)=4(pi)(3^2)}}} 
{{{(4/3)(pi)(27)=4(pi)(9)}}} 
{{{(4/3)(27)pi=36(pi)}}}
{{{36(pi)=36(pi)}}}