1. The problem statement, all variables and given/known data Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.100000 cm thick to a hemispherical dome with a diameter of 45.000 meters. 2. Relevant equations [tex]Surface Area of sphere=4\pi(r^2)[/tex] Since it is hemipshereical, the surface area will be half [tex]Surface Area of hemispherical dome=2\pi(r^2)[/tex] [tex]dSA=4\pi(r)dr[/tex] 3. The attempt at a solution I converted 45m into 4500cm for the radius. I set dr=.1cm and the radius to 4500cm.