Friday

August 22, 2014

August 22, 2014

Posted by **Anonymous** on Monday, February 25, 2008 at 9:06pm.

We assume that an oil spill is being cleaned up by deploying bacteria that consume the oil at 3 cubic feet per hour. The oil spill itself is modeled in the form of a very thin cylinder as depicted below. Its height is the thickness of the oil slick

Suppose at some moment in time the height is decreasing at .0003 cubic foot per hour, the thickness of the slick is .004 foot, and the cylinder is 600 feet in diameter. At what rate is the area covered by the slick changing at that moment? (That is, the area of the base disc of the cylinder).

- Calc -
**Reiny**, Tuesday, February 26, 2008 at 12:16amV = Pi(r^2)(h)

dV/dt = pi(r^2)dh/dt + pi(h)(2r)dr/dt

sub in the known values

-3 = pi(300^2)(-.0003) + pi(.004)(600)dr/dt

solve for dr/dt

now in A = pi(r^2)

dA/dt = 2pi(r)dr/dt

= 2pi(300)(above value for dr/dt)

=

....

**Related Questions**

2010 BP oil spill - How did the oil pipeline leak in the Gulf Coast that caused ...

math - suppose that oil spilled from a tanker and spreads in a circular pattern ...

Science - Who else might buy oil-eating bacteria besides oil spill cleanup ...

calculus - Suppose oil spills from a ruptured tanker and spreads in a circular ...

Calculus - Suppose oil spills from a ruptured tanker and spreads in a circular ...

Trig(I think) - Suppose oil spills from a ruptured tanker and spreads in a ...

Math - At the time of the oil spill, the price of gasoline was 2.75 per gallon. ...

oil spill - Does anybody know if the BP oil spill from this year is over?

Oil Spill - what caused the oil spill in texas?

calculus - The radius of a circular oil spill is increasing at a rate of 10 feet...