$(6)$ A ACivil Engineer is conducting a soil density analysis at different depth for a construction project. The engineer collects data at there Specific depths, along with their Corresponding soil densities. The available data points are as follow:

Using Lagrange interpolation, Create a funchon to estimate the soil density at other depths. with the range of $2\mathrm{.}5$ to $6\mathrm{.}0$ meters.

Compute the Soll density at the depth of $3\mathrm{.}5m.$ Correct to $4$ decimal places. check the table in the manuscript