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

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) $1445.22 \mathrm {~cm} ^ { 2 } / \mathrm { min }$