The Two Radii of the Frustum of a Right Circular $1871.79 \mathrm {~cm} ^ { 2 } / \mathrm { min }$

question 66

Multiple Choice

The two radii of the frustum of a right circular cone are increasing at a rate of 7 centimeters per minute, and the height is increasing at a rate of 11 centimeters per minute (see figure) .
Find the rate at which the surface area is changing when the two radii are 16 centimeters and 26 Centimeters, and the height is 13 centimeters. [Note: The surface area does not include the top andBottom circles.] Round your answer to two decimal places.

• A) \(1871.79 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)
• B) \(2077.89 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)
• C) \(1511.11 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)
• D) \(2185.54 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)
• E) \(1445.22 \mathrm {~cm} ^ { 2 } / \mathrm { min }\)

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