Roughly estimating my system, I have a 1/2" copper manifold that is about 4 feet long, which feeds into my pump, which then goes through about 4 feet of 1/2" silicon tubing, down a 2 foot length of 1/2" copper pipe to my coil (which is about 1/4" inner diameter and 25 feet long), then out another 2 foot length of 1/2" copper pipe back out to another 5 foot piece of silicon hose and returns to my mash tun.
The volume of a cylinder is pi*r*r*h where r is the radius (half the diameter) of the tube and h is the length of the tube in inches.
SO, volumes of each piece:
manifold is "pi * (0.5/2) * (0.5/2) * (4*12)" = 9.4 cubic inches
first hose is "pi * (0.5/2) * (0.5/2) * (4*12)" = 9.4 cubic inches
input leg to coil is "pi * (0.5/2) * (0.5/2) * (2*12)" = 4.7 cubic inches
coil is "pi * (0.25/2) * (0.25/2) * (25*12)" = 14.7 cubic inches
output leg from coil is "pi * (0.5/2) * (0.5/2) * (2*12)" = 4.7 cubic inches
return hose to MLT is "pi * (0.5/2) * (0.5/2) * (5*12)" = 11.8 cubic inches
Grand total of close to 55 cubic inches, which is about 1 quart of total volume.
There is not a lot contained within the pump itself.