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Why is a sphere's VOLUME ⁴⁄₃πR³? (you were never shown this) 🟣 #shorts #maths #volume
You memorized that a sphere's volume is ⁴⁄₃πR³ — but were you ever shown WHY? Here it is, in 16 seconds. Take a semicircle and spin it around an axis: you sweep out a sphere (this is called a "solid of revolution"). Now slice the sphere into thin horizontal DISKS. A disk at height y has radius r(y) = √(R² − y²), so its volume is ...
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