A spherical balloon expands uniformly as it is inflated. The radius of the balloon in r meters at time t seconds. Find the radius, the volume, and the surface area of the balloon when the rates of increase of the surface area of the balloon and the radius are numerically equal

2 answers

da/dt = 8πr dr/dt
If da/dt = dr/dt, then r = 1/8π

so, now you can find the area and volume.
Steve, what is dr/dt? how did you get 1/8pi?
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