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Calculus help already :-/

WHSLacrossekid

Diamond Member
I don't know what to do for this problem:

What is the rate of change of the volume of a sphere with respect to the radius when the radius is r=2in?

I looked for help on the net but all I could find was derivative stuff that related to rate of change.....Any help on starting this problem?
 
rate of change = derivative

take the derivative of the volume equation

i forget the volume of a sphere but it should be in your book somewhere. then after you take the derivate with respect to r(radius) plug in 2, and you get the rate of change at that radius.

simple 🙂
 
the volume of the sphere is 4/3piR^3 right? so take the derivative of that with respect to R, to get dV/dR=4piR^2
 
the relative rate problems are basically taking the derivative of the function wrt the thing you are changing.
 
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