A spherical balloon is inflated so that its volume increases at a rate of 100 cubic centimeters per second. How fast is the radius increasing when the radius is 10 cm?

Sat, 18 Apr 2026 14:05:33 +0000

**How a Spherical Balloon’s Radius Grows When Volume Increases at 100 cc/s — and Why You Should Care** What happens when a balloon inflates so fast it gains 100 cubic centimeters of volume every second? The answer reveals more than just math—it connects to everyday physics, consumer trends, and surprisingly powerful real-world applications. For those curious about how inflated objects expand under pressure, understanding this rate offers insight into fluid dynamics, manufacturing precision, and even entertainment design. This topic is gaining quiet traction across the US, driven by educational content, DIY physics experiments, and conversations around technology where controlled inflation matters—from medical devices to commercial packaging. In mobile-first searches for clear, trustworthy explanations, this question cuts straight to users seeking concise, accurate answers. ---