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Solve the Problem 2 cm3/s2 \mathrm{~cm}^{3} / \mathrm{s} Find the Rate of Change of Its Surface Area

Question 78

Multiple Choice

Solve the problem.
-The volume of a sphere is increasing at a rate of 2 cm3/s2 \mathrm{~cm}^{3} / \mathrm{s} . Find the rate of change of its surface area when its volume is 256π3 cm3\frac{256 \pi}{3} \mathrm{~cm}^{3}


A) 1 cm2/s1 \mathrm{~cm}^{2} / \mathrm{s}
B) 643 cm2/s\frac{64}{3} \mathrm{~cm}^{2} / \mathrm{s}
C) 13 cm2/s\frac{1}{3} \mathrm{~cm}^{2} / \mathrm{s}
D) 23 cm2/s\frac{2}{3} \mathrm{~cm}^{2} / \mathrm{s}

Correct Answer:

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