Question 823904
Cone volume = 57.6 cubic inches
Cone base = 4 inches
Cone height = ??? 
:
The volume of a cone: V = {{{1/3}}}*{{{pi*r^2h}}}
Assuming the diameter of the base of the cone = 4 inches, r=2 inches
{{{1/3}}}*{{{pi*2^2*h = 57.6}}}
multiply both sides by 3
{{{pi*4*h = 172.8}}}
divide both sides by {{{4*pi}}}
h = {{{172.8/(4*pi)}}}
h = 13.75 inches
:
A cone with a volume of 57.6, and a diameter of 4 will be 13.75 inches long