How to Calculate the Volume of a Cone

The Organic Chemistry Tutor

This concise video tutorial demonstrates the step-by-step process for calculating the volume of a cone given its radius and height. The instructor begins by sketching a cone and labeling its dimensions—a radius of 12 inches and a height of 16 inches—before introducing the standard volume formula: one-third pi times radius squared times height. The lesson walks viewers through the substitution of values and the order of operations, specifically emphasizing squaring the radius before multiplying. The instructor models mental math strategies, such as dividing by 3 early in the process to simplify the numbers. The final solution is presented in two common formats: an exact answer in terms of Pi and an approximate decimal value, catering to different testing requirements. For educators, this video serves as an excellent direct instruction tool or a reference for students needing a refresher on geometry formulas. It effectively models how to set up a problem, show work systematically, and distinguish between exact and approximate geometric answers, making it a valuable resource for middle school and high school geometry units.