c$.$ A $200$ mm diameter pipe splits into $2$ branch pipes, one $60$ mm diameter and the other $80$ mm diameter as shown in figure $1.$ The system carries oil of density $930kgm-3$ in a steady flow. If the velocity of the oil is $3\frac{m}{s}$ in the largest pipe and $4\frac{m}{s}$ in the smallest pipe, determine:

i$.$ The volumetric flow rate in the $200$ mm pipe

$[5]$

ii$.$ The mass flow rate in the $60$ mm diameter pipe

$[5]$

iii. The velocity of oil in the $80$ mm diameter pipe

$[5]$