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The radius of a circular cylinder is increasing at rate of 3 cm/s while the height...

The radius of a circular cylinder is increasing at rate of 3 cm/s while the height is decreasing at a rate of 4 cm/s.

a.) How fast is the surface area of the cylinder changing when the radius is 11 cm and the height is 7 cm? (use A =2 pi r2 +2 pi rh )

b.) Based on your work and answer from part (a),is the surface area increasing or decreasing at the same moment in time? How do you know?

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