approximately by what percentage does the volume of a sphere increase if it's surface area is increased 2%? See formulas below

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approximately by what percentage does the volume of a sphere increase if it's surface area is increased 2%? See formulas below

Mathematics
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\[V = \frac{ 4 }{ 3 }\pi r^3\] \[S = 4\pi r^2\]
answer is 3%, how do you get it though
3% increase**

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Other answers:

what method are you estimating with? it really depends on the initial size of the sphere...
are you learning differentials...?
yes
\[\frac{ dS }{ dt } = +0.02\]
that is what we know
radius is the problem

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