anonymous
  • anonymous
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]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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shadowfiend
  • shadowfiend
Do you know the equation for the volume of a sphere given the radius?
anonymous
  • anonymous
V= (4/3)[pi (r ^{3}\]
anonymous
  • anonymous
V = (v/3) pi r^3

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shadowfiend
  • shadowfiend
The first one is correct.
shadowfiend
  • shadowfiend
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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