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iop360

  • 3 years ago

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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  1. iop360
    • 3 years ago
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    \[V = \frac{ 4 }{ 3 }\pi r^3\] \[S = 4\pi r^2\]

  2. iop360
    • 3 years ago
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    answer is 3%, how do you get it though

  3. iop360
    • 3 years ago
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    3% increase**

  4. Algebraic!
    • 3 years ago
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    what method are you estimating with? it really depends on the initial size of the sphere...

  5. Algebraic!
    • 3 years ago
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    are you learning differentials...?

  6. iop360
    • 3 years ago
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    yes

  7. iop360
    • 3 years ago
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    \[\frac{ dS }{ dt } = +0.02\]

  8. iop360
    • 3 years ago
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    that is what we know

  9. iop360
    • 3 years ago
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    radius is the problem

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