The example that shows an organism maintaining homeostasis is b. a person sweating on a hot day. Homeostasis is an organism's ability to maintain a stable internal environment irrespective of the external environment. When a person's body overheats, the body releases water as perspiration or sweat to cool itself down. Another example is when a person gets cold, the hair on his arms and legs, stand up straight - to trap air circulating round his body, and heat it up.