Answer :

Answer:

r = 3x.

Step-by-step explanation:

The volume of the cylinder = πr^2 h

= π (2x)^2 9x

= 36x^3 π

This is also the volume of the sphere so

36 x^3 π  = 4/3  π r^3

36x^3 = 4/3 r^3

r^3 = 36 x^3 * 3/4

r^3 = 27 x^3

r = cube root of  27 x^3

r = 3x.