Rank each court based on the number of cases it hears, from the court that hears the most cases to the court that hears the fewest
1. state trial courts
2. federal district courts
3. federal courts of appeals
4. us supreme court

1. State trial courts  

2. Federal district courts

3. Federal courts of appeals

4. US Supreme Court

Explanation:

The ranking based on the most cases a court hears is as follows

1. State trial courts  

2. Federal district courts

3. Federal courts of appeals

4. US Supreme Court

Here,

The  State trial courts  hears the most cases while the US Supreme Court hears the least cases.

when it comes to authority, the US Supreme Court is top most court for a country.

The US Supreme Court hears to the cases which are challenged in the lower courts or the cases which are high profile.

Therefore,

it receives the least number of cases for hearing as compared to other lower courts.

For every state a case first goes for hearing in the state trial courts that is why it receives the most number of cases for hearing.