This is just a cylinder, with a cone and half of a sphere carved out of it.
Just find the volume of the cylinder, then subtract the volume of the cone and the volume of the half-sphere from it, and you'll have the volume of the part that's left.
Now I'll tell you why this problem was assigned: The purpose is
to give you an opportunity to recall the formulas for the volumes
of these three shapes. To hep you recall them, here they are:
Volume of a cylinder = (pi) (radius of the round end)² (length)
Volume of a cone= (1/3) (pi) (radius of the round end)²
Volume of a whole sphere= (4/3) (pi) (radius of the whole sphere)³
Notice that in the weird contraption in the picture, the cylinder,
the cone, and the half-sphere all have the same radius.