Frustum of a Cone
Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base. Both pieces have different volumes and areas.
In the cone given above, the frustum can be considered as the difference of two right circular cones.
Let the larger cone which has a height equal to “h” units, slant height as “l” units and radius as “r” units be named as cone 1 and the smaller right circular cone be named as cone 2 whose height is given as h’ units, radius as r’ units and the slant height as l’ units.
Therefore, the volume of the frustum of cone can be given as:
From the figure given above, in the ∆OO’D and ∆OPB;
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