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September 16, 2014

September 16, 2014

Posted by **Anonymous** on Sunday, November 1, 2009 at 8:39am.

- Calculus -
**drwls**, Sunday, November 1, 2009 at 9:21amThe vloume increase rate is dV/dt = 500

V = (4/3) pi R^3

dV/dt = (12/3)pi R^2 dR/dt

= 4 pi R^2 dR/dt

You can use that equation to compute the dR/dt expansion rate for any value of R.

Note that that dV/dt equals the instantaneous surface area times dR/dt.

- Calculus -
**Anonymous**, Wednesday, July 7, 2010 at 10:22amr=30cm

500=4 pi R^2 dR/dt

500=11309.7336 dR/dt

dR/dt = .0442cm/min

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