iop360
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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iop360
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\[V = \frac{ 4 }{ 3 }\pi r^3\]
\[S = 4\pi r^2\]

iop360
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answer is 3%, how do you get it though

iop360
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3% increase**

Algebraic!
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what method are you estimating with?
it really depends on the initial size of the sphere...

Algebraic!
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are you learning differentials...?

iop360
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yes

iop360
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\[\frac{ dS }{ dt } = +0.02\]

iop360
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that is what we know

iop360
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radius is the problem