A farmer wishes to paint the side of a cylindrical grain silo of height 75 feet and diameter 24 feet. If the paint is to be applied in a coat 1/8 inch thick, use differentials to approximate the volume of paint that the farmer needs to buy.

Question

anonymous · Answer

V=pi r^2 h

gabebae · Answer

I read the question wrong 
It says the farmer wants to paint the side

gabebae · Answer

sorry

anonymous · Answer

If you consider the paint as a thin sheet over the outside of the cylinder, the volume of paint will be the surface area times thickness.

dV = A dt
dV = volume of pint
A = surface area
dt = thickness