1. A perfectly spherical snowball is melting and the volume of the ball decreases at a constant speed of 3L/hour. What is the instantaneous rate of change in the surface area of the ball with respect to time (cm^3/hour) when the volume is 12L? Explain the entire process of how to find the instantaneous rate of change.
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The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere. The formula for the surface area of a sphere is A = 4πr^2. Show more…
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