You plan to paint a sphere of radius 200 cm with a coat of pain .2 cm thick. Use differentials to approximate the amount of paint that is needed. Use the equation for the volume of a sphere.

So far I have C=81, X=82, f(x)= x^1/4 and C-x = 1 (If correct) what is the next step?

1 answer

dr=0.2cm
r=200cm

dV/dr = 4*pi*r^2

V=4*pi*r^2*dr

V=4*pi*200^2*0.2