SOLUTION: a diagram shows a metal cylinder. the cylinder has base radius of 2x and the height 9x. the cylinder is melted down and made into a sphere of radius r. find an expression for r

Algebra ->  Volume -> SOLUTION: a diagram shows a metal cylinder. the cylinder has base radius of 2x and the height 9x. the cylinder is melted down and made into a sphere of radius r. find an expression for r      Log On


   

Question 844032: a diagram shows a metal cylinder.
the cylinder has base radius of 2x and the height 9x.
the cylinder is melted down and made into a sphere of radius r.
find an expression for r in terms of x.

thankyou i really appreciate it!
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
volume of the cylinder
h*pi*r^2
9x*pi*(2x)^2=
36 pi x^3
volume of a sphere is pi*r^3
pi*r^3=36 pi x^3
r^3=36x^3