First we need to know volume of cylinder,as cups are cylindrical . Secondly, sink is half spehere,so volume of it is given=2000π/3in^3 So we need to know number of cups we scoop is going to equal to the volume of a sink,then only it will empty.
Fist cup has a diameter of 4 inch height 8 inch Voulme of a cylinder=pi×r^2h V=pi×2×8 V=32π Now divide it to voulme of sink Volume of sink/voulmeof a single cup Numberof cup=2000π/3/32=20.48 We can take 21 Rest of part u can solve with the same method