Question 1028376
r in terms of V and pi.
Simple algebra steps.  SIMPLE algebra!!


BEGINNING, {{{V=(4/3)pi*r^3}}}


Undo the factors {{{(4/3)}}} and {{{pi}}}.
{{{V(3/4)*(1/pi)=(4/3)pi*r^3*(3/4)*(1/pi)}}}
{{{(3V)/(4pi)=r^3}}}


Undo the exponent of 3 on r.
{{{(r^3)^(1/3)=((3V)/(4pi))^(1/3)}}}


{{{r=root(3,((3V)/(4pi)))}}}