Radius= 2.58 inches.
Explanation
The volume of a sphere with radius r is given by the formula V = (4/3)pir^3.
The volume of a cylinder with radius r and height h is given by the formula V = pir^2h.
Since the sphere and the cylinder have the same radius and volume, we can set these two formulas equal to each other and solve for r:
(4/3)pir^3 = pir^29
4r^3 = 3r^2*9
4r^3 = 27r^2
r^2 = (27/4)r^2
r^2 = 6.75r^2
r = sqrt(6.75) = 2.58 inches
Therefore, the radius of the sphere and the cylinder is 2.58 inches.