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In this video you will learn how to find the Radius of the Sphere at the time the Rate of Change of its Radius equals the Rate of Change of its Surface Area by using the surface area formula for the sphere S=4Ï€r^2.

The radius of a sphere is r when the time is t seconds. Find the radius when the rate of change of the surface area and the rate of change of the radius are equal.

0:25 Understanding keywords in the problem
0:43 Translating words into mathematical terms
1:57 Using the Surface Area formula for the Sphere - equation
2:13 Differentiating the equation implicitly
3:54 Substitution procedure of equivalent terms
4:33 Solving for r(t)

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