How fast is the surface area of a spherical balloon increasing if the radius is 7 in and the volume is increasing at the rate of 5 cu in/sec? I'm not sure how to solve this one as S=4*pi*r^2 does not take into account volume.
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Originally Posted by swatpup32 How fast is the surface area of a spherical balloon increasing if the radius is 7 in and the volume is increasing at the rate of 5 cu in/sec? I'm not sure how to solve this one as S=4*pi*r^2 does not take into account volume. You do know that so taking the deriviative with respect to t gives We were given that value of so we can solve for This should get you started, happy hunting
So the dr/dt from v = 4/3*pi*r^3 will be the input for dr/dt from s=4*pi*r^2. correct?
Originally Posted by swatpup32 So the dr/dt from v = 4/3*pi*r^3 will be the input for dr/dt from s=4*pi*r^2. correct? Exactly!!
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