The wax (art piece + sprue system + pour cup) determines the size of the investment flask. Since the flask is a cylinder (technically a right circular cylinder), the total volume is determined using the height (H) and diameter (D) or radius (R) (D = 2 * R) in the equation Volume =
pi * R^2 * H =
pi * (D/2)^2 * H, where
pi = 3.14159265... is half the circumference of a circle with radius 1.
Here are some simple rules relating the height (h) and diameter (d) of the wax and the flask height (H) and diameter (D):
- Because the flask will have a 2-3 inch cap to seal the bottom before filling, H = h + 2. Large flasks (diameter > 20 inches may need larger caps depending on the shape of the wax).
- 2 inches between the widest points on the wax and the flask wall are ideal, so D = d + 4.
The flask's total volume (measured in cubic inches or in^3) is given in the first row of each cell in the table below.
Since the flask is filled using 5 US gallon buckets of wet investment material, in order to estimate the number of buckets needed to fill a flask, one needs to divide the total volume by 231, the number of cubic inches in 5 US gallons. The second row of each cell in the table below gives these values. Note that these are
full buckets and it will take more "partially filled" buckets, so treat these values as lower bounds (minimum).
Finally, the third row of each cell provides estimates of the flask's total wet weight. These are based on the weights of water, sand, and plaster mixed in the proportions of 1/3, 4/9, and 2/9 (resp.). For a 5 US gallon bucket these weights are roughly 14, 22.3, and 7.9 lbs (resp), putting a 5 US gallon bucket of investment at 52 lbs. Note that actual full buckets have been weighed and come very close to this value.
Diameter and Height combinations shaded in green are "doable" with a few assistants to move the finished flask. Those in red are "challenging", and white is "beyond reason".
Volume (in^3) # Buckets Weight (lbs) |
Flask Height (inches) |
|
10 |
12 |
14 |
16 |
18 |
20 |
22 |
24 |
26 |
28 |
30 |
32 |
34 |
36 |
|
Flask Diameter (inches) |
10 |
785 0.6 35 |
942 0.8 42 |
1099 0.9 49 |
1256 1 56 |
1413 1.2 63 |
1570 1.3 70 |
1727 1.4 77 |
1884 1.6 84 |
2041 1.7 91 |
2199 1.9 99 |
2356 2 106 |
2513 2.1 113 |
2670 2.3 120 |
2827 2.4 127 |
|
12 |
1130 0.9 50 |
1357 1.1 61 |
1583 1.30 71 |
1809 1.5 81 |
2035 1.7 91 |
2261 1.9 101 |
2488 2.1 112 |
2714 2.3 122 |
2940 2.5 132 |
3166 2.7 142 |
3392 2.9 152 |
3619 3.1 162 |
3845 3.3 173 |
4071 3.5 183 |
|
14 |
1539 1.3 69 |
1847 1.5 83 |
2155 1.8 97 |
2462 2.1 110 |
2770 2.3 124 |
3078 2.6 138 |
3386 2.9 152 |
3694 3.1 166 |
4002 3.4 180 |
4310 3.7 194 |
4618 3.9 207 |
4925 4.2 221 |
5233 4.5 235 |
5541 4.7 249 |
|
16 |
2010 1.7 90 |
2412 2 108 |
2814 2.4 126 |
3216 2.7 144 |
3619 3.1 162 |
4021 3.4 181 |
4423 3.8 199 |
4825 4.1 217 |
5227 4.5 235 |
5629 4.8 253 |
6031 5.2 271 |
6433 5.5 289 |
6835 5.9 307 |
7238 6.2 325 |
|
18 |
2544 2.2 114 |
3053 2.6 137 |
3562 3 160 |
4071 3.5 183 |
4580 3.9 206 |
5089 4.4 229 |
5598 4.8 252 |
6107 5.2 274 |
6616 5.7 297 |
7124 6.1 320 |
7633 6.6 343 |
8142 7 366 |
8651 7.4 389 |
9160 7.9 412 |
|
20 |
3141 2.7 141 |
3769 3.2 169 |
4398 3.8 198 |
5026 4.3 226 |
5654 4.8 254 |
6283 5.4 282 |
6911 5.9 311 |
7539 6.5 339 |
8167 7 367 |
8796 7.6 396 |
9424 8.1 424 |
10052 8.7 452 |
10681 9.2 480 |
11309 9.7 509 |
|
22 |
3801 3.2 171 |
4561 3.9 205 |
5321 4.6 239 |
6081 5.2 273 |
6842 5.9 308 |
7602 6.5 342 |
8362 7.2 376 |
9122 7.8 410 |
9883 8.5 444 |
10643 9.2 479 |
11403 9.8 513 |
12163 10.5 547 |
12924 11.1 581 |
13684 11.8 616 |
|
24 |
4523 3.9 203 |
5428 4.7 244 |
6333 5.4 285 |
7238 6.2 325 |
8142 7 366 |
9047 7.8 407 |
9952 8.6 448 |
10857 9.4 488 |
11761 10.1 529 |
12666 10.9 570 |
13571 11.7 611 |
14476 12.5 651 |
15380 13.3 692 |
16285 14.1 733 |
|
26 |
5309 4.5 239 |
6370 5.5 286 |
7432 6.4 334 |
8494 7.3 382 |
9556 8.2 430 |
10618 9.1 478 |
11680 10.1 525 |
12741 11 573 |
13803 11.9 621 |
14865 12.8 669 |
15927 13.7 717 |
16989 14.7 764 |
18051 15.6 812 |
19112 16.5 860 |
|
28 |
6157 5.3 277 |
7388 6.3 332 |
8620 7.4 388 |
9851 8.5 443 |
11083 9.5 498 |
12314 10.6 554 |
13546 11.7 609 |
14777 12.7 665 |
16009 13.8 720 |
17240 14.9 776 |
18472 15.9 831 |
19703 17 887 |
20935 18.1 942 |
22166 19.1 997 |
|
30 |
7068 6.1 318 |
8482 7.3 381 |
9895 8.5 445 |
11309 9.7 509 |
12723 11 572 |
14136 12.2 636 |
15550 13.4 700 |
16964 14.6 763 |
18377 15.9 827 |
19791 17.1 891 |
21205 18.3 954 |
22618 19.5 1018 |
24032 20.8 1081 |
25446 22 1145 |
|
32 |
8042 6.9 362 |
9650 8.3 434 |
11259 9.7 506 |
12867 11.1 579 |
14476 12.5 651 |
16084 13.9 724 |
17693 15.3 796 |
19301 16.7 868 |
20909 18.1 941 |
22518 19.4 1013 |
24126 20.8 1086 |
25735 22.2 1158 |
27343 23.6 1231 |
28952 25 1303 |
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