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