Final answer:
General Grant used a siege strategy to capture Vicksburg, which involved surrounding the city, blockading it, and cutting off its supplies. The Confederate forces eventually surrendered due to starvation. This victory gave the Union control of the Mississippi River.
Step-by-step explanation:
General Grant used a strategy of siege to capture the city of Vicksburg. He encamped his army and began digging trench works to move closer to the Confederate defenses while protecting his troops from enemy fire. The Union forces surrounded the city, blockaded it, cut off its supplies, and used artillery to shell the city. The Confederate forces in Vicksburg eventually surrendered due to starvation from the blockade, and Grant's victory gave the Union control of the Mississippi River and weakened the Confederate forces in the Western Theatre.