Question 272261
The volume of a sphere is given by:
{{{V = (4/3)(pi)r^3}}} Substitute {{{V = (288)(pi)}}}
{{{288(pi) = (4/3)(pi)r^3}}} Divide both sides by {{{pi}}}
{{{288 = (4/3)r^3}}} Multiply both sides by the multiplicative inverse of {{{4/3}}} which is {{{3/4}}}.
{{{216 = r^3}}} Take the cube root of both sides.
{{{highlight(r = 6)}}}cm.