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anonymous

  • 5 years ago

How fast is the surface area of a spherical balloon increasing when the radius is 10 cm and the volume is increasing at 15 cm3/sec? [7]

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  1. shadowfiend
    • 5 years ago
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    Do you know the equation for the volume of a sphere given the radius?

  2. anonymous
    • 5 years ago
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    V= (4/3)[pi (r ^{3}\]

  3. anonymous
    • 5 years ago
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    V = (v/3) pi r^3

  4. shadowfiend
    • 5 years ago
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    The first one is correct.

  5. shadowfiend
    • 5 years ago
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    So the next step is to come up with an expression of V in terms of time, and then determine how r then changes with time. Once you come up with an expression for r in terms of time, you can plug it into the equation for surface area, and you'll be set!

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