No one in his right mind is gonna check this, but I made these for myself so I might as well paste 'em here.
Cerebella heigth:
http://skullgirls.com/characters/cerebella/
5'6" = 167,64 cm = 509 pixels
Diamond density:
http://en.wikipedia.org/wiki/Diamond
3,5 g/cm^3
Diamond Mass = diamond volume * diamond density
Diamond volume:
Green part (cone) +
blue part (cut cone)
1) Green (cone) volume = 1/3 * base area * height
base area = pi * r^2
base area = 3,1415 * ((388/2)^2) = 3,1415 * 37636 =
118233,494
green volume = 1/3 * 118233,494 * 179 = 7054598,475333333
2) Blue (cut cone) volume =
Full cone (green) -
'missing' small cone (yellow)
2.1) Small cone (yellow)
1/3 * base area * heigth
base area = pi * r^2
base area = 3,1415 * ((222/2)^2) = 3,1415 * 12321 = 38706,4215
yellow volume = 1/3 * 38706,4215 * (179 - 68) = 1432137,5955
2.2) Blue = green -
yellow
Blue = 7054598,475333333 -
1432137,5955 =
5622460,879833333
Total volume =
green +
blue
Total volume =
7054598,475333333 +
5622460,879833333 =
12677059,35516667 [pixel^3]
At this point it was a good idea to finally translate pixels (and cubed pixels) into centimetres (and cubed centimetres)
167,64 cm = 509 pixels => 1 pixel = 0,3293516699410609 cm
1 pixel^3 = (0,3293516699410609 cm)^3
1 pixel^3 = 0,0357256064257775 cm^3
Total diamond volume = 12677059,35516667 [pixel^3]
Total diamond volume = 12677059,35516667 * 0,0357256064257775 = 452895,6331589052 cm^3 (= about 453 liters)
Diamond mass = diamond volume * diamond density
Diamond mass = 452895,6331589052 cm^3 * 3.5 g/cm^3 = 1585134,716056168 g = 1585,134716056168 kg = 1,585134716056168 t
Diamond mass = 1585 kg = 1,585 t = 3494,62 lb