Calculus:Derivatives:Differential (I am stuck on this question help PLEASE)

In a manufacturing process, ball bearings must be made with radius of 0.4 mm, with a maximum error in the radius of ±0.013 mm. Estimate the maximum error in the volume of the ball bearing.

**Solution:** The formula for the volume of the sphere is________. If an error ∆*r* is made in measuring the radius of the sphere, the maximum error in the volume is ∆*V*=__________.

Rather than calculating ∆*V*, approximate ∆*V* with *dV*, where *dV*=__________.

Replacing *r* with___ and *dr*=∆*r* with ±____ gives *dV*= ±____.

The maximum error in the volume is about____mm^3.