The correct answer is option 4, Himalayas. Extrusive volcanoes, also known as volcanic mountains, are formed when molten rock called lava is expelled from a volcano and solidifies on the Earth`s surface. These types of volcanoes are typically found in areas with active tectonic plates and volcanic activity.

Option 1, Alaska, is known for its volcanic activity and has several extrusive volcanoes like Mount Redoubt and Mount Spurr. Option 2, Rocky Mountains, is a mountain range that stretches from Canada to the United States and is not associated with volcanic activity. Option 3, Andes, is a mountain range that runs through several South American countries, including Chile and Peru, and has numerous extrusive volcanoes like Villarrica and Cotopaxi.

However, the Himalayas, which is the correct answer (option 4), is a mountain range located in Asia and is not known for its volcanic activity. These mountains were formed during the collision of the Indian and Eurasian tectonic plates, resulting in the uplift of the Earth`s crust rather than volcanic eruptions. Therefore, extrusive volcanoes are not found in the Himalayas.