A cone has a base radius of 5 cm and a height of 12 cm. Calculate its volume.

Wed, 06 May 2026 02:40:34 +0000

**A cone has a base radius of 5 cm and a height of 12 cm. Calculate its volume.** Curious minds are drawn to simple shapes that hold surprising real-world relevance—especially when it comes to design, packaging, and everyday geometry. One such shape is the cone—a form widely seen in everything from party poppers and ice cream containers to architectural details and mathematical models. Now, imagine: What does it mean to calculate the volume of a cone with a base radius of 5 centimeters and a height of 12 centimeters? This question isn’t just academic—it surfaces in education, product development, and even trend analysis in the US market, where understanding spatial efficiency impacts innovation, sustainability, and consumer expectations. Calculating the volume of a cone follows a precise mathematical principle that combines careful measurement with thoughtful computation. The formula used is:
V = (1/3) × π × r² × h
Where “r” is the base radius, “h” is the height, and π (pi) is a constant approximately equal to 3.14159. Plugging in the values—r = 5 cm, h = 12 cm—results in:
V = (1/3) × π × (5)² × 12 = (1/3) × π × 25 × 12 = (1/3) × π × 300 = 100π cm³ This yields an approximate volume of 314.16 cm³, placing the cone’s capacity firmly in the realm of accessible everyday measurements—small enough to fit comfortably in the palm, yet substantial enough to influence design and function.