A ruptured oil tanker causes a circular oil slick on the surface of the ocean. When its radius is 170 meters, the radius of the slick is expanding by 0.1 meter/minute and its thickness is 0.02 meter. At that moment:

(a) How fast is the area of the slick expanding?

Round your answer to three decimal places.

(b) The circular slick has the same thickness everywhere, and the volume of oil spilled remains fixed. How fast is the thickness of the slick decreasing?
Round your answer to six decimal places.

Question

A ruptured oil tanker causes a circular oil slick on the surface of the ocean. When its radius is 170 meters, the radius of the slick is expanding by 0.1 meter/minute and its thickness is 0.02 meter. At that moment:

(a) How fast is the area of the slick expanding?

Round your answer to three decimal places.

(b) The circular slick has the same thickness everywhere, and the volume of oil spilled remains fixed. How fast is the thickness of the slick decreasing?
Round your answer to six decimal places.

perl · Answer

you can model the slick as a cylinder

anonymous · Answer

and then what? I don't understand these types of problems.

jhannybean · Answer

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