Question: A science teacher uses a right circular cone to model a volcano. The cone has a base radius of 5 cm and height of 12 cm. What is the slant height of the cone, and what is the angle between the slant height and the base?

Mon, 04 May 2026 05:51:47 +0000

**A science teacher uses a right circular cone to model a volcano. The cone has a base radius of 5 cm and height of 12 cm. What is the slant height of the cone, and what is the angle between the slant height and the base?** When educators sculpt physical models like right circular cones to illustrate geological phenomena—such as the steep slopes of a volcanic eruption—mathematical concepts become tangible and memorable. Students and curious learners often wonder about the precise geometry behind these models. This article answers the essential question: What is the slant height of a right circular cone with base radius 5 cm and height 12 cm? And what is the angle formed between that slant height and the base? Understanding these geometric features helps deepen comprehension of 3D shapes, supporting classroom instruction and real-world science learning. It also connects abstract math to meaningful, visual examples students encounter in STEM education across the United States. ---