(6):

6. Use Lagrange multipliers to nd the dimensions of the right circular cylinder of minimum surface area (including the circular ends) with a volume of48021r ins. Give an argument showing you have found an absolute minimum. The closed right circular cylindrical can of smallest surface area whose volume is 48021r: in3 has a radius of I: (1) and a height of |: (2} (Type exact answers, using radicals as needed.) Give an argument showing you have found an absolute minimum. Choose the correct answer below. 0 A. Moving away from the calculated radius and height along the constraint curve decreases the surface area in both the short term and long term. 0 B. Moving away from the calculated radius and height along the constraint curve increases the surface area in the short term, but decreases it in the long term. O C. Moving away from the calculated radius and height along the constraint curve increases the surface area in both the short term and long term. 0 D. Moving away from the calculated radius and height along the constraint curve decreases the surface area in the short term, but increases it in the long term. (1) Q in3 (2) O in Q in2 O in2. 0 in. 0 ins