The cerebrum is the part of the brain that most of us think of as the brain. As the spinal column goes up into the base of the skull, there is a piece of the brain that appears to be attached to the back of it which is the cerebellum. Above this, forming the different hemispheres and again, most of the parts of the brain we think of as the brain, is the cerebrum.
The cerebrum controls and directs some movement and most of the senses including smell, touch, etc. as well as controlling most of speech and memory functions.
The cerebellum controls most motor functions and some nervous response functions as well including fear and some other emotions.
Cerebrum and cerebellum are two of the three main parts of human brain the third one being the brain stem. The cerebrum is the biggest of the three parts of the brain that makes up about 85 per cent of the weight of the human brain. It is situated above the other two parts of the brain. It is the thinking part of the human brain that controls all voluntary actions. It is also responsible for logical thinking, and memory.
Cerebellum is situated at the back of the brain below cerebrum. At makes up about 1/8th of the total weight of human brain. It controls, balance, movement and coordination in the body.