Why the formula has one-third
A cone with radius and height occupies exactly one-third of the volume of a cylinder with the same base and height.
That is why the formula is V= rac13pi r^2 h instead of just base area times height.
What to measure
- The radius is the distance from the base center to the circle edge.
- The height is the straight perpendicular distance from the base to the apex.
- The slant height is useful for surfaces, but volume uses the vertical height.
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