Question

A spherical ball bearing will be coated by 0.07cm of protective coating. If the radius of this ball bearing is 7 cm, approximately how much coating will be required?

I know how to find the answer. I'm just confused on why you would use the volume of sphere instead of surface area when using differential approximation...

Answer #1

43.080 cm^{3 }is the approximate coating
required .

We use volume of the sphere instead of surface area because volume is the Integral of surface area . So it's make it easy to solve the problem .

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