Why Is the Volume of a Cylinder πr²h? | Derivation Explained

Why is the volume of a cylinder πr²h? Instead of memorizing the formula, let’s build it from the basics. In this video, we visually derive the volume and surface area formulas of a cylinder by starting with something familiar: the circle. You’ll see how stacking circular layers leads to the volume formula, and how unfolding the curved surface turns it into a rectangle. By the end, the formulas for volume, curved surface area, and total surface area are no longer just formulas to remember. They follow naturally from simple geometric ideas. This is the idea behind DERIVE ACADEMY: start from the foundation, understand the structure, and derive the result. Topics covered: • Volume of a cylinder • Curved surface area of a cylinder • Total surface area of a cylinder • Why V = πr²h • Why CSA = 2πrh • Why TSA = 2πr(h + r) If you enjoy learning mathematics through understanding rather than memorization, subscribe for more. #Geometry #Mathematics #Cylinder