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April 20, 2014

April 20, 2014

Posted by **Debbie** on Monday, October 17, 2011 at 11:03am.

- calculus -
**Steve**, Monday, October 17, 2011 at 2:54pmFrom the previous post, keeping all the measurements in mm,

dV/dt = (4πr^2 + 60π) dr/dt

so, if dV/dt = 30,

30 = 4π(16 + 15) dr/dt

so

dr/dt = .0770 mm/s = 77 um/s. That means that the diameter is increasing by 154um/s, so that's ok. As the diameter increases, the rate of expansion slows down.

At 60mm^3/s, the inflation rate starts at 308um/s. Boom!

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