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Helen needs a replacement ball bearing for this part. The surface area of each spherical ball bearing is approximately 452.16 square milimeters.

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Using the surface area of the sphere, it is found that the radius of the bearing that Helen needs to buy is of 6 millimeters.

What is the surface area of a sphere?

The surface area of a sphere of radius r is given by:

$$S_A = 4\pi r^2$$

In this problem, we have that:

$$S_A = 452.16$$

Hence:

$$4\pi r^2 = 452.16$$

$$r = \sqrt{\frac{452.16}{4\pi}}$$

r = 6.

The radius of the bearing that Helen needs to buy is of 6 millimeters.

More can be learned about the surface area of a sphere at

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