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December 19, 2014

December 19, 2014

Posted by **Anonymous** on Thursday, October 21, 2010 at 10:49pm.

I keep getting stuck!

- calculus word problem -
**Reiny**, Thursday, October 21, 2010 at 10:59pmlet the radius be r and the height be h

Assuming the cone maintains the same shape

2πr=6

r = 3/π

and r/h = (3/π)/10

r = 3h/(10π)

V = (1/3)πr^2 h

= (1/3)π(9h^2/(100π^2))h

= 3h^3/(100π)

dV/dt = (9/100π)h^2 dh/dt

At this point you will have to know what the relationship between lbs of concrete and cubic feet is, I work in metric and no longer know those units.

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