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RELATED RATES PLAYLIST: https://goo.gl/85bbsG

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In this video you will learn how to find the Rate at which the Radius of the Oil Spill is increasing given its radius at time t, rate at which the oil spill volume is increasing, and its thickness.

An oil tanker has an accident and oil pours out at the rate of 150 gallons per minute. Suppose that the oil spreads onto the water in a circle at a thickness of 1/10 inches. Given that 1 cubic inch equals 7.5 gallons, determine the rate at which the radius of the spill is increasing when the radius reaches 500 feet.

0:34 Drawing & Understanding picture with given Info

3:06 Using Cylinder Volume formula equation

3:44 Converting inches to feet for height of the cylinder (oil spill shape)

4:22 Understanding what the problem asks for

4:47 Differentiating the Volume formula equation implicitly

5:54 Locating known quantities - converting from gallons to cubic feet

7:25 Solving for r'(t)

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