I don't know maybe something along these lines
revenue is the total units sold * price right?
So , if demand is elastic then a small change in price will cause a big change in quantity sold. So for example if the price was lowered then there could be a large increase in quantity sold. The number you get for elasticity will tell you by how much price and quantity is changing.
If the demand is inelastic then a large change in price would cause a very small change in quantity, because people will buy the good anyways. So for example if you raise the price there will be only a small decrease in quantity sold. Revenue is probably going to increase