User blog:GreyFang82/D&D Homebrew: Shattering The Nine Hells

Rules / Assumptions


The line is 213 pixels long and that long represents 5000 miles.

5000 / 213 = 23.4741784 per pixel

Next rule, this will be under the assumption each layer of hell is a circular disk... Why? Because in all other representations of the nine hells, it has always been shown as disks.

Also this will simply assume this is all stone. So for Frag it is 8 j/cc and violent frag is 69 j/cc.

1st layer of hell
Diameter is 554 pixels or 13004.6948 miles across. 13004.6948 / 2 = 6502.3474 miles as our radius.

With a thickness of 30 pixels or 704.225352 miles for height.

1 mile = 160934 cm

6502.3474 x 160934 = 1046448776.47 cm

704.225352 x 160934 = 113333803 cm

Volume of a cylinder is V = Pi x Radius^2 x height

Pi x 1046448776.47^2 x 113333803 = 389,892,861,533,962,596,794,177,453 cm^3

2nd layer of hell
Diameter is 490 pixels or 11502.3474 miles across. 11502.3474 / 2 = 5751.1737 miles as our radius.

with a thickness of a 33 pixel or 774.647887 mile height.

5751.1737 x 160934 = 925559388

774.647887 x 160934 = 124667183

Pi x 925559388^2 x 124667183 = 335,513,963,447,360,472,422,088,654 cm^3

3rd layer of hell
455 pixel diameter or 10680.7512 miles across. 10680.7512 / 2 = 5340.3756 miles as our radius.

22 pixels of height or 516.431925 mile height.

5340.3756 x 160934 = 859448007 cm

516.431925 x 160934 = 83111455.4 cm

Pi x 859448007^2 x 83111455.4 = 192,863,470,670,185,421,677,893,487 cm^3

4th layer of hell
380 pixel diameter -> 8920.18779 miles / 2 = 4460.09389

35 pixel height -> 821.596244 miles

4460.09389 x 160934 = 717780750

821.596244 x 160934 = 132222770

Pi x 717780750^2 x 132222770 = 214,012,794,389,283,479,588,957,608 cm^3

5th layer of hell
275 pixel diameter -> 6455.39906 miles / 2 = 3227.69953

29 pixel height -> 680.751174 miles

3227.69953 x 160934 = 519446596

680.751174 x 160934 = 109556009

Pi x 519446596^2 x 109556009 = 92,868,383,251,428,539,601,104,724 cm^3

6th layer of hell
222 pixel diameter -> 5211.2676 / 2 = 2605.6338

28 pixel height -> 657.276995

2605.6338 x 160934 = 419335070

657.276995 x 160934 = 105778216

Pi x 419335070^2 x 105778216 = 14,740,205,356,302,307,942,476,285 cm^3

7th layer of hell
168 pixel diameter -> 3943.66197 / 2 = 1971.83099

22 pixel height -> 516.431925

1971.83099 x 160934 = 317334649

516.431925 x 160934 = 83111455.4

Pi x 317334649^2 x 83111455.4 = 6,886,350,791,263,394,611,769,201 cm^3

8th layer of hell
124 pixel diameter -> 2910.79812 / 2 = 1455.39906

20 pixel height -> 469.483568

1455.39906 x 160934 = 234223192

469.483568 x 160934 = 75555868.5

Pi x 234223192^2 x 75555868.5 = 4,200,646,853,183,320,646,774,664 cm^3

9th layer of hell
90 pixel diameter -> 2112.67606 / 2 = 1056.33803

28 pixel height -> 657.276995

1056.33803 x 160934 = 170000705

657.276995 x 160934 = 105778216

Pi x 170000705^2 x 105778216 = 5,975,758,961,481,968,449,116,521 cm^3

Final Results
Total Volume: 389,892,861,533,962,596,794,177,453 + 335,513,963,447,360,472,422,088,654 + 192,863,470,670,185,421,677,893,487 + 214,012,794,389,283,479,588,957,608 + 92,868,383,251,428,539,601,104,724 + 14,740,205,356,302,307,942,476,285 + 6,886,350,791,263,394,611,769,201 + 4,200,646,853,183,320,646,774,664 + 5,975,758,961,481,968,449,116,521 = 1,256,954,400,000,000,000,000,000,000 cm^3

Low-Ball: 1,256,954,400,000,000,000,000,000,000 x 8 = 1.00556352 x 10^28 joules, 2.403 Exatons of TNT, or Multi-Continent level+.

High-Ball: 1,256,954,400,000,000,000,000,000,000 x 69 = 8.67298536 x 10^28, 20.73 Exatons of TNT, or Multi-Continent level+ only being 9 Exatons away from Moon level.