Section

Lagrange polynomials of the optimized redesigned bottle

S1

P 1 ( x ) = 1.1

S2

P 2 ( x ) = 0.0034921 x 5 0.040476 x 4 + 0.21706 x 3 1.3089 x 2 + 5.7384 x 5.1167

S3

P 3 ( x ) = 0.036829113 x 6 + 1.4915791 x 5 24.923167 x 4 + 219.65835 x 3 1075.681 x 2 + 2772.3003 x 2931.6348

S4

P 0 ( x ) = 4.4

S5

P 4 ( x ) = 0.0406912 x 3 + 0.99403 x 2 7.40008 x + 19.7863