calculus
posted by john on .
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters.

Without using calculus:
Amount of paint
=surface area * thickness of paint(t)
=4πr²*t
Make sure you put everything in the right units (probably cm).
Using calculus:
V=4πr³/3
dV/dr=4πr²t