question_answer 84)

Of all the right circular cylindrical Cans, of given volume of 100cm3, find the dimensions of the Can which has the minimum surface area ? 

Answer:

Let r cm be the radius and h cm. be the height of the Can.       The surface area of the Can = A =  ?.. (1)       and volume of the Can                                                                                        ? (2)       From (1) and (2)                  (Given)                                           Now              is minimum when             (2)                    Dimensions of the Can having maximum surface area  and