The correct option is (a) 16:1
Explanation: Total length of cylinder L = 12+0.8=12.8 cm
Height of clearance space = 0.8 cm
Clearance volume= area * height = \(\frac{π}{4}\)*10^2*0.8
= 62.8 cm^3
Total volume = \(\frac{π}{4}\)*D^2*L
= \(\frac{π}{4}\)*10^2*12.8 = 1004.8 cm^3
Compression ratio = \(\frac{Total \, volume}{Clearance \, volume}\)
= \(\frac{1004.8}{62.8}\) = 16/1
= 16:1