MATH 2043 Lecture Notes - Lecture 27: Wrike, Lemna, Parametric Equation

6. The Post Office accepts a cylindrical package only if the height plus the girth of the cylinder (h + 2nr) is not more than 42. What are the height and base radius of the cylindrical package of largest volume that can be mailed? V = ar?h; (h + 2nr) = 42 h = 42 - 27 V = ar? (42 – 29r) = 42 r2 – 27²,3 V' = 82nr – 67²p2 = 67r[14 – Tr] = 0 =r=14 h = 42 – 21(14) = 42 - 28 = 14