Question 301648
Two designs for an oil storage tank are being considered: spherical and cylindrical. 
The two tanks would have the same capacity and would each have an inside diameter of 30 feet. What would be the height of the cylindrical tank?
:
radius of both tanks = 15 ft
:
let h = the height of the cylinder
:
Cylinder vol = Sphere vol 
{{{pi*r^2*h = (4/3)*pi*r^3}}}
divide both sides by {{{pi*r^2}}}, resulting in a simple equation:
h = {{{4/3}}}r
h = {{{4/3}}}*15
h = 20 ft is the height