Lots of mountains have snow all the year round.
The mountain just has to be high enough that the average temperature is below 0°C most of the year, and the few days in summer which are above 0°C are not enough to melt all the snow which fell during the long winter.
Examples are the Himalayes, the Andes, the Alps etc.
a snow line is a line of snow on a mountain that stays there year round!
The snow line.
Only high in the mountains and on glaciers does it remain snow covered.
Some examples of European mountains that are covered in snow year-round are the Alps in Switzerland and the Pyrenees in Andorra. These mountains have high elevations and cold temperatures, which contribute to their perpetual snow cover.
The high elevation of the mountain allows it to maintain cold temperatures despite its location near the equator. This results in snow accumulation that persists year-round at the peak.
Yes, there are numerous glaciers on the mountain, which means there is snow and ice year-round. If you plan on visiting, there is typically still snow on the ground at Paradise during much of July, though this depends on the year. All roads are open in July, however.
Many of the National Parks have high mountains with snow throughout the year. I visited The Rocky Mountain National Park and roads were closed in June because of heavy snow fall. The Grand Tetons National Park is another with high peaks.
I believe that Mt. Kilamajaro is in Africa somewhere, and given its height, being a mountain, it probably has snow all year round. Mount Kilimanjaro, in Tanzania, Africa, is Africa's highest mountain. Although it very close to the equator it is high enough that the temperature on the summit remains below freezing all year round. On top there is snow and small but permanent glacier of ice. Yep you can find it on Mount Kilimanjaro which is 19340 feet.
No, Mount Whitney is not snow covered year round. Snow typically covers the peak from late fall to early summer, with snowmelt occurring in the summer months. However, the exact timing and amount of snow can vary each year depending on weather conditions.
Yes, there are many glaciers on the mountain above about 8,000 feet where snow and ice don't melt. Hundreds of inches fall every year on Paradise Ranger station which is around 5500 feet, and it often doesn't completely melt until late June or July at that elevation. But it does all melt. You have to get above 7-8 thousand feet, depending on the year, to find snow that does not melt.
While Mount Fuji does have snow on its peak for a significant portion of the year, especially during the colder months, it does not have snow all year round. The snow typically remains on the summit from about October to around early June.
Snow can last year round on mountain peaks. Normal altitudes follow a continental climate, so first snowfall is likely October or November.