given the two cylinders that we should find their ratio:
the dimesion of the big cylinder
Radius r = 3cm
Height h = 12cm
dimesion of the small cylinder:
Radius r = 1.5cm
Height h = 6cm
recall, the formular for the volume of cylinder:
Volume of Cylinder = pi x r^2 x h
also ratio is comparing two quantities
so loking for the ratio ofthe volume the two cylinders:
pi x 3^2 x 12 : pi x 1.5^2 x 6
pi cancelling out
3^2 x 12 : 1.5^2 x 6
9 x 12 : 2.25 x 6
108 : 13.5
8:1
therefore, the ration of the volume of the two cylinders is 8:1
so the correct option is the second option which is 8 to 1