Question 391542
find b in the volume of a cone.
 The equation is V=1/3(3.14)(r squared) h. Can you please help. r=2b squared h=24
{{{(1/3)*pi*r^2*h = V}}}
Multiply both sides by 3
{{{pi*r^2*h = 3V}}}
Replace r with 2b^2 and h with 24
{{{pi*(2b^2)^2*24 = 3V}}}
:
{{{pi*(4b^4)*24 = 3V}}}
{{{pi*b^4*96 = 3V}}}
Divide both sides by {{{96*pi}}}
b^4 = {{{(3V)/(96pi)}}}
Reduce fraction
b^4 = {{{V/(32pi)}}}
Find the 4th root of both sides
b = {{{(V/(32pi))^(1/4)}}}