Risk vs Volatility
Volatility is use to help mitigate risk. Risk is purely base on the price you pay.
Volatility is use to describe the way that the share price goes up and down. The farther the distance between up and down the more volatility there is. The closest the distance between up and down the less volatility there is.
Risk is purely the price you pay. If a stock is worth $20. If you pay $10 is less risky that if you pay $30.