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Class 9 · Ganita Manjari · Unit 14: Math of Space: Surface Area and Volume

Why the $\tfrac{1}{3}$ in the Cone Volume

Lesson 2 of 3
Fill a cylindrical vessel of the same radius and height with sand three times, and it exactly fills a cone of the same base and height. Volume of cone is one-third that of a cylinder — a result Archimedes proved 2200 years ago.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
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