$3.$ Preliminary Calculations $(14$ Marks $)$

A vessel $($oil tanker$)$ has the following particulars:

Length: $220$ m

Beam: $40$ m

Block Coefficient: $0\mathrm{.}85$

Displacement: $84337$ tonnes

Water density: $1\mathrm{.}025$ tonnes $\backslash (/\backslash$mathrm$\{$m$\}3\backslash )$

a$)$ What is the vessel's draft? $(3)$

b$)$ Using Prohaska's approach, sketch the weight distribution of the vessel. $(6)$

c$)$ With the addition of Murray's method, determine an estimate of the still water bending moment at midships. $(5)$