The pipe flow in the figure given below fills a cylindrical surge tank as shown. At time $\backslash ($ t$=0\backslash ),$ the water depth in the tank is $45$ cm $.$ a$.$ What is the volume flow rate in the 'neck' leading to the tank in m$3/$sec$.$ b$.$ How fast is the water level rising in the tank in $\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$sec$\}\backslash )?$

The diameter of the pipe is $35$ cm $.$ Use water at $20$ deg C $.$