Question

Use differentials to estimate the amount of
paint needed to apply a 1/4 cms thick coat of
paint to a sphere having diameter 4 cms.

Answer 1

x^2+y^2+z^2=2
Use the equation for a total differential (i hope you know this, it is dz/dx(delta x)+dz/dy(delta y) and use "error" value, or delta value, as 1/4.

Answer 2

I'm still not sure how to do this problem

Answer 3

it seem slike you could just multiply the surface ares by 1/4

Answer 4

???