anonymous
  • anonymous
approximately by what percentage does the volume of a sphere increase if it's surface area is increased 2%? See formulas below
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[V = \frac{ 4 }{ 3 }\pi r^3\] \[S = 4\pi r^2\]
anonymous
  • anonymous
answer is 3%, how do you get it though
anonymous
  • anonymous
3% increase**

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

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