Question 80550
V={{{((4/3)(pi)r^2h)}}}  [isolate the r-term]
{{{(V/(pi)h)}}}={{{(((4/3)(pi)r^2h))/(pi)h)}}}
{{{(V/(pi)h)}}}={{{((4/3)r^2)}}}
{{{(3/4)(V/(pi)h)}}}={{{((3/4)(4/3)r^2)}}}
{{{(3V/4(pi)h)}}}={{{(r^2)}}}[take the square root of both sides]
{{{(sqrt(3V/4(pi)h))}}}={{{(sqrt(r^2))}}} 
{{{(sqrt(3V)/2sqrt((pi)h))}}}=r 
.
check by plugging {{{(sqrt(3V)/2sqrt((pi)h))}}}=r back into the original equation (substitute it for the r-term) and solve.