This kind of topic can be summarized as the method of cutting or loading a plane or three-dimensional figure that we have not learned into a figure that we have learned. Because we know that graphics are very limited, there are only a few.

This problem can be seen as adding and subtracting three figures: a cuboid at the bottom, a semi-cylinder at the top and then subtracting a cylinder.

Its volume is V cuboid +V semi-cylinder -V middle cylinder.

4*6*4+π*(2*2)*4/2-π* 1* 1*4= 156.56

In the engineering drawing, those two dotted lines mean that they exist, but they can't be seen from your perspective (under a surface or inside an object). In the left view, you look to the side from the picture, so you can see that the top and bottom of the cutting circle inside reach the two tops. Similarly, your top view is the leftmost and rightmost at both ends.