ABCDEFGHIJKLMNOPQRSTUVWXYZ
1
2
3
Determining the Volume of a Tumor II: Computation and Compression
4
5
6
ellipsoid image
7
Calculating the volume of an ellipsoid:
8
9
10
formula
11
12
13
14
15
A pile of ellipsoids or peanut M&M's!
For a tumor, measure its length, width, and depth.
16
(plain M&M's are oblate spheroids)
...and let's consider the measurement error and
17
different mathematical models to compute the
18
tumor volume.
19
20
Here we are compressing a spherical tumor into an oblate spheroid.
21
22
Another Online Collaborative-Pair Computational Spreadsheets Project -
Click here
23
24
ellipsoid > spheroid >sphere
25
 a > b > c a > b = c (1)a = b = c
26
 a = b > c (2)
27
Click on the tabs to navigate!!!
(1) prolate (2) oblate
28
29
30
31
32
33
34
35
36
37
38
39
40
 ellipsoidprolate spheroid
oblate spheroid
 sphere
41
oriented with "a" in the vertical position
42
43
generated using an interactive tool:
http://demonstrations.wolfram.com/Ellipsoid/
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100