Subject: Mathematics
Book: Maths Mastery
A cone’s volume formula is V = (1/3)πr²h, where r is the radius of the base and h is the perpendicular height. For instance, if a conical funnel has radius 4 cm and height 9 cm, its volume is (1/3) × π × 4² × 9 = (1/3) × π × 16 × 9 = 48π cm³. Cones appear in traffic cones, ice cream cones, and funnel-shaped objects. This knowledge is relevant in manufacturing, packaging, and fluid flow analysis. Understanding the (1/3) factor, which differentiates cones from cylinders, refines your ability to manipulate 3D geometry across multiple real-life contexts.
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