Most of the tourists arriving Japan are expecting at least to see Mt.Fuji during their stay in Japan.
Therefore many tourists go to Yamanashi prefecture, mostly to Kawaguchi-ko lake to enjoy the view of Mt.Fuji. Unless bad weather, you will have a great chance to take photos.
However, if you do not have a time to travel to Kawaguchi-ko lake, probably the easiest way is the see Mt.Fuji from Tokaido Shinkansen.
Tokaido Shinkansen is running Shizuoka prefecture which also Mt.Fuji can be seen in large scale. However, where in Shizuoka?
The most populous city in the prefecture is Hamamatsu and prefectural capital is Shizuoka but these cities are far from the mountain.
The answer is simple. City of Fuji is the place where you can see Mt.Fuji. Fuji is an industrial city, lack of places of interest and no worth for stop over but has the best scenery in Japan. Take the window seat E.