Originally Posted by
spd476
If I did my math correctly, it should be about 2.272" in diameter. That's slightly smaller than a tennis ball (2.575-2.700").
Too big.
Originally Posted by
mahohmei
Code:
(((4.3 oz) / ((4 / 3) * pi))^(1 / 3)) * 2 = 2.45635207 in
So there we go; the snow globe's interior diameter must be <=
2.4 in.
Still too big. And inconsistent, since 2.4 is < 2.45635207 .
I think instead of ( 4 / 3) you need to have this as 3/4, because you are solving for the radius, not the volume.
V = 4/3 * pi * r^3
r = (V / pi * 3 / 4) ^ (1/3)
d = 2 * ((V / pi * 3 / 4) ^ (1/3) )
100 mL == 100 cm^3 of volume, so d = 2 * ((100 / pi * 3 / 4) ^ (1/3) )
plugging this into google: 2 * ((100 / pi * 3 / 4) ^ (1/3) ) cm to inches
yields:
2.26725347 inches