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April 19, 2014

April 19, 2014

Posted by **ssss** on Thursday, October 18, 2007 at 8:59pm.

- calculus -
**Reiny**, Thursday, October 18, 2007 at 9:08pm..it is shrinking 2 cubic inches per minute ----> dV/dt = -2 cubic inches/min

V = (4/3)pi(r^3)

dV/dt = 4pi(r^2)dr/dt

when r - 1 and dV/dt = -2

-2 = 4pi(1)dr/dt

dr/dt = -1/(2pi)

but A = 4pi(r^2)

then dA/dt = 8pi(r)dr/dt

so again when r=1

dA/dt = 8pi(1)(-1/2pi)

=-4 square inches/min

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