Question 393987
a sphere has a volume of 972pi cubic inches, what is the surface area
:
Find r using the Volume of a sphere formula
{{{4/3}}}{{{pi*r^3}}} = {{{972pi}}}
Divide both sides by pi
{{{4/3}}}{{{r^3}}} = 972
{{{r^3}}} = 972*{{{3/4}}}
{{{r^3}}} = 729
r = {{{3sqrt(729)}}}
r = 9 inches
:
Surface area formula SA = {{{4*pi*r^2}}}
:
SA = {{{4*pi*9^2}}}
SA = {{{324pi}}}
or
SA = 1017.876 sq inches