$($b$)$ A rectangular footing of size $2\mathrm{.}5$m x $5$m is found at a depth of $1\mathrm{.}5$m in a homogeneous C$-$ soil. The water table is at great depth. The unit weight of soil is $15$ KN$/$m$3,$ C $=60$KPa, and $=25\backslash$deg $.$ Determine the net ultimate bearing capacity using Meyerhof theory.

$($c $)$ A rectangular footing of size $4$m x $5$m is found at a depth of $1$m in homogeneous sandy soil. The water table is at great depth. The unit weight of soil is $20$KN$/$m$3,$ C $=0,$ and $=39\backslash$deg $.$ Determine the net ultimate bearing capacity using IS Code theory