Question

A ruptured oil tanker causes a circular oil slick on the surface of the ocean. When its radius is 160 meters, the radius of the slick is expanding by 0.9 meter/minute and its thickness is 0.09 meter. Note: Be careful of your units.
The circular slick has a thickness that remains uniform, and the volume of oil spilled remains fixed. How fast is the thickness of the slick decreasing when the radius is 160 meters? Convert your answer to millimeters per second. (Recall: 1 m = 1000 mm)

Answer 1

I've been struggling with this problem for days.
Any help would be greatly appreciated.

Answer 2

Related rates?

Answer 3

Yes

Answer 4

like this right

Answer 5

write an expression for
Volume in terms of radius

Answer 6

^^A disc with fixed volume and varying radius/thickness.

Answer 7

\[V=\pi r^2 h\]

Answer 8

hold on lets go step by step