Solve the Problem $40.0 \mathrm {~mm}$ Find the Rate of Change of Surface Area with Cylindrical

question 233

Multiple Choice

Solve the problem.
-A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume that the length remains a constant $40.0 \mathrm {~mm}$ . Find the rate of change of surface area with respect to radius when the radius is $0.080 \mathrm {~mm}$ . (Answer can be left in terms of $\pi$ ) .

• A) \(80.0 \pi \mathrm { mm } ^ { 2 } / \mathrm { mm }\)
• B) \(40.32 \pi \mathrm { mm } ^ { 2 } / \mathrm { mm }\)
• C) \(80.32 \pi \mathrm { mm } ^ { 2 } / \mathrm { mm }\)
• D) \(40.16 \pi \mathrm { mm } ^ { 2 } / \mathrm { mm }\)

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