If you miss Mt fuji on your way....
If you miss a glimpse of Fuji on the journey from Tokyo to Shizuoka, your first stop on arrival in the city should be to the Prefectural Office, its a mini-skyscraper about 10 minute walk from the station.
The express elevator which takes you up to the 21st floor observation platform is free of charge.You will be able to enjoy a great view of shizuoka city and beyond.
If Fuji-san is still cloaked in cloud, then go to the little tea area and enjoy a cup of green tea from shizuoka..(The tea room is adjacent to the observation gallery.).
There is also a 3D high vision video.."FUJI NO MEGUMI"..(blessing of Mt fuji) its an introduction film about Japan's highest mountain..
PS....the best time to view Mt fuji is in the winter....The days are clear and that lingering cloud many times is just not there..:)