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Solve the Problem 7 cm3/sec7 \mathrm {~cm} ^ { 3 } / \mathrm { sec }

Question 256

Multiple Choice

Solve the problem. Round your answer, if appropriate.
-The volume of a sphere is increasing at a rate of 7 cm3/sec7 \mathrm {~cm} ^ { 3 } / \mathrm { sec } . Find the rate of change of its surface area when its volume is 4π3 cm3\frac { 4 \pi } { 3 } \mathrm {~cm} ^ { 3 } . (Do not round your answer.)


A) 14 cm2/sec14 \mathrm {~cm} ^ { 2 } / \mathrm { sec }
B) 283 cm2/sec\frac { 28 } { 3 } \mathrm {~cm} ^ { 2 } / \mathrm { sec }
C) 14πcm2/sec14 \pi \mathrm { cm } ^ { 2 } / \mathrm { sec }
D) 13 cm2/sec\frac { 1 } { 3 } \mathrm {~cm} ^ { 2 } / \mathrm { sec }

Correct Answer:

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