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castusalbuscor
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Homework Statement
The rate of evaporation of a spherical drop of liquid is proportional to its surface area.
Derive R(t) assuming constant density, where R(t) is the radius of the drop as a function of time.
Homework Equations
I know that the surface area of the sphere is [tex]A = 4 \pi R(t)^{2}[/tex]
The Attempt at a Solution
So would I just take the time derivative of the surface area?
Which gives:
[tex]\frac{d A}{dt} = 8 \pi R(t) [/tex]
Some how this seems wrong.