A cone has a base radius of 4 cm and a height of 9 cm. If a similar cone has a height of 12 cm, what is its base radius?

Thu, 16 Apr 2026 23:34:53 +0000

**How Does the Base Radius of a Cone Change When Its Height Adjusts? A Deep Dive for Curious Minds** Wondering how one cone’s size relates to another’s, especially when height changes—like how a cone with a 4 cm base and 9 cm height compares to one of 12 cm? This question isn’t just academic—it connects to everyday design, manufacturing, and engineering decisions. With growing interest in geometry applications in tech, product development, and education, understanding proportional relationships in 3D shapes helps simplify complex problems. This piece breaks down the math safely, clearly, and relevantly for US readers seeking reliable, actionable knowledge. --- ### A Cone Has a Base Radius of 4 cm and a Height of 9 cm. If a Similar Cone Has a Height of 12 cm, What Is Its Base Radius?