6. A gas tank on a dock has a small puncture and is leaking gas at the rate of 1cm / min' into a lake. It forms a circular slick that is 1 mm thick on the surface of the water.

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6. A gas tank on a dock has a small puncture and is leaking gas at the rate of
1cm / min' into a lake. It foms a circular slick that is 1 mm thick on the surface
of the water.
a) Find the amount of gas leaked as a function of time.
b) State the radius of the slick as a function of its volume.
c) State the radius of the slick as a function of time.
d) What is the radius of the slick after 40 minutes?
Transcribed Image Text:6. A gas tank on a dock has a small puncture and is leaking gas at the rate of 1cm / min' into a lake. It foms a circular slick that is 1 mm thick on the surface of the water. a) Find the amount of gas leaked as a function of time. b) State the radius of the slick as a function of its volume. c) State the radius of the slick as a function of time. d) What is the radius of the slick after 40 minutes?
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