What happened during the siege of vicksburg

Ulysses s grant's armies conversed on Vicksburg investing in the city and trapping a confederate army under Lt gen john pemberton control and eventuality on July 4th Vicksburg was surrendered 

In the battle of Vicksburg Grant led his army of Tennessee to the Mississippi River where they then drove the Confederate troops to the town of Vicksburg Mississippi. After two major attacks by the Union the Confederate did not have re enforcements and were quickly running out of supplies. Grant then invaded Vicksburg and the Confederate surrendered.

Ibelieve the answer is answer 5