A lot of times the word "server" and "database" are used interchangeably, they're however different things. The server is responsible for all the functionality in web-based platforms. In essence, the server is the one in charge of managing all the code software engineers write and using the code to interact with the host and client. The database is where all information is stored.
When you log into LinkedIn for example, the server is why your browser is able to show you the LinkedIn website, in order to get past the login page and sign in, the database has to be involved, the database is where all your information is, your email and every detail you provided LinkedIn as well as your activity on LinkedIn is stored in the database. There's a constant relationship between your device, the server and the database.
Let's make the above more relatable, when you walk into a restaurant, every staff in the restaurant can be viewed as the server (all their actions combined make service possible) as they serve you what you ordered. Every restaurant has storage facilities for the drinks, food items and other miscellaneous items that you see in the restaurant. The storage facilities can be viewed as the database.