Presuming the height of the cone also to be 33cm33cm (the presumption being that the tip of the cone-shaped opening is at the other end of the cylinder), and that the diameter is the same for both, the method we use is to subtract the volume of the cone from the volume of the cylinder - that will give us the volume of glass required.
Hence:
Vg=Vcy-VcoVg=Vcy−Vco
The formula for volume of a cylinder is:
Vcy=pir^2hVcy=πr2h, where r=r=radius, and h=h=height.
The formula for volume of a cone is:
Vco=pir^2h/3Vco=πr2h3
Hence:
Vg=Vcy-VcoVg=Vcy−Vco
Vg=pir^2h-pir^2h/3Vg=πr2h−πr2h3
Vg=pir^2h(1-1/3)Vg=πr2h(1−13)
Vg=pir^2h(2/3)Vg=πr2h(23)
Vg=pixx10^2xx33xx2/3Vg=π×102×33×23
Substitute 1010 for rr (radius is half the diameter), and 3333 for hh.
Vg=pixx100xx11cancel33xx2/(1cancel3)
Vg=pixx100xx11xx2
Vg=pixx2200
Vg=2200pi
Considering pi=3.14:
Vg=6908