Name: Brandon
Who is asking: Student
Level of the question: Secondary
Question: This one HW problem is just devastating. I think there is a typo, and I'll show you where, but I'm unsure of part of the work too.
An Oil Tanker Spills 100,000 cubic meters of oil, which forms a slick that spreads on the water surface in a shape best modeled by a circular disc is increasing at a rate of 3m/min (it doesn't state what is increasing at 3m/min, so I'm assuming Radius until I can ask my teacher.) At t=T, the area of the "circular" slick reaches 100pi Sq. meters.
A) how fast is the area of the slick increasing at t=T
B)How fast is the thickness of the slick decreasing at t=T
C)Find the rate of change of the area of the slick with respect to the thickness at t=T.
I've got:
volume= 100,000 m^{3}
Radius @ t=T is 10
since radius is 10 @ t=T, then height(depth) must be 318.31 m
dr/dt=3
h=v/a
but i can't figure out how to find the change in height.
Also is question A simply the constant 3m/min?
Thanks a ton!
