in my calc class, someone noticed that when you take the derivative of the formula for volume of a circle, it becomes the formula for the surface area. anyone know why? and what other shapes is this also true for?
umm... i have no clue what that means...Any surface that, when applying a coating of paint with uniform thickness, is (sufficiently close to) the same kind of surface.
Here's the connection: If you paint a sphere, then the volume of paint used is the surface area times the thickness of the paint layer. Or, another way to put it is that the surface area is the volume of paint (dV) divided by the thickness of paint (dr); S=dV/dr.Originally posted by Gale17
umm... i have no clue what that means...
and since we're on the subject of my having no clue... what is this 'nesting of spherical shells'
stokes theorem says that for any space, of any dimension, the integral of some object on the boundary of that object equals the integral of the derivative of that object.Originally posted by Gale17
whats is stokes theorem?