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In a galvanic cell, the anode is usually on the right and is the site of oxidation, and generally gets thinner over time as the metal electrode loses electrons and gives off metal ions. The cathode is on the left and is the site of reduction, and gets thicker over time as the metal ions gain electrons and turns into solid metal deposited on the electrode.
There isn't really a visual way to tell unless if you can identify the solutions or the electrodes. For example, if you can identify that there is zinc on one side and copper on the other, you know that zinc is on the anode side and the side with copper is the cathode. Also, if you can see the electron flow, the side to which the electrons are moving to is the cathode.
drawing the anode of the left is the conventional way. So I guess if you draw your cell correctly and get the direction of the e- current correct (from anode to cathode) it shouldn't matter if you draw the anode on the left or right. By recognizing which half rxn is the oxidation half or the reduction half will make drawing the cell really easy, so its helpful to identify that first.
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