Computes, for a truncated cone
with height H and base and top diameters,
d1 and d2, respectively:
(i) the areas of the bottom and top circles; and,
(ii) as functions of height, h,
0 ≤ h ≤ H,
the profile, r, the volume, V, and lateral surface, A.
Plots, vs. h (0 ≤ h ≤ H),
the profile, the volume and the lateral area. In the graph,
the volume and area are given as fractions, i.e.,
V ⁄ Vtotal and
A ⁄ Atotal,
thus always going from 0 to 1. For ease of plotting, the cone axis
is positioned horizontally (i.e., the x-axis).
Other suggested data:
d1 = 8; d1 = 0 (a cone);
d2 = 0 (an "inverted" cone);
(H, d1, d2) =
(5, 6, 8) (water glass). |
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