The correct option is B 11.76cm
Radius of the conical cup r=142=7cm and height of the cup h=18cm Therefore
Volume of water in the cup =13πr2h=13×227×7×7×18=924cm3
Now radius of the circular cylinder R=102cm=5cm
Let the height of water be H centimeters Then
Volume of water =πR2H=227×5×5×H=25×227Hcm
This volume is equal to the volume of water poured out from the cup i.e.
227×25H=924orH=924×722×25=11.76cm
∴ Height of water in the vessel =11.76 cm