Mrs. Kertye bought a spherical ball for her nephew, but she does not know the radius. She is in search of a cylindrical box that will fit the ball perfectly, that is, it will have the same radius plus a little more so that the ball will fit.

To determine the radius of the ball, Mrs. Kertye can measure the diameter of the ball using a ruler or a measuring tape.

Once she has the diameter, she can divide it by 2 to get the radius. Let's assume the diameter of the ball is D.

Radius (r) = Diameter (D) / 2

Now, when searching for a cylindrical box that will fit the ball perfectly, she needs to find a box with a radius greater than the radius of the ball (r).

Let's assume the radius of the box is R. To ensure the ball fits inside the box perfectly, the radius of the box (R) should be greater than the radius of the ball (r).

R > r

So, Mrs. Kertye needs to find a cylindrical box with a radius greater than the radius of the ball to ensure a perfect fit.