If there is a cylinder, and a cone inside the cylinder, shouldn’t one “empty space” on either side of the cone, be half the volume of the cone? It has the same height, radius, etc. Of a cone. So shouldn’t the equation for half a cone be 1/2 ( 1/3πr^2). Then meaning that both the halves equal one, and that a cylinder is equal to two cones instead of three??? I just don’t understand conceptually how they aren’t equal. Where is that third cone going?? Does it have something to do with it being 3D??? I’m not stupid I swear I just can’t visualize it😭
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What you say is only true for a slice that passes through the center of the cone perpendicular to the base. What does the next slice look like? Progress the slice (in parallel) towards one edge of the cone? Do you still have the non-cone area = cone area in that slice? In fact, do you expect to see a triangle?
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