Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.050000 cm thick to a hemispherical dome with a diameter of 80.000 meters.

Question

saifoo.khan · Answer

Volume of sphere = 4/3 * π * r^3 
dV/dr = 4 * π * r^2 
dV = 4 * π * r^2 * dr 
= 4 * π * 306.25 * .0005 
≈ 1.92 m^3

anonymous · Answer

would it not be the area we are looking for instead of the volume?

anonymous · Answer

Cubic centimeters = volume

Square centimeters = area

anonymous · Answer

saifoo.khan that was not the right answer. Any other idea?

anonymous · Answer

I got it, never mind. It was dV=(3(2/3)*pi*4000^2)*0.05