The largest popcorn ball ever made weighed 2,225 pounds and was 6 ft high. How many cubic feet of popcorn made up the ball?(remember the diameter of any sphere is equal to its height)
2006-07-25 06:10:24 · 3 answers · asked by laqitta 1 in Science & Mathematics ➔ Mathematics
V = 4/3 Pi r^3
v = 4/3 Pi *27 (r=3)
V = 36*Pi
2006-07-25 06:44:29 · answer #1 · answered by bob h 3 · 0⤊ 2⤋
That works out to nearly 20 pounds per cubic foot- which seemed a little high to me- so I enlisted the magic of Google and here's what I found...
The 2,225 ball was blown up at the Sac County Fair in Iowa and replaced by a 3,100-pound effort measuring 23 feet in circumference.
A 3,100 lb. sphere with a 23-foot circumference would have a diameter of 7.3 feet, a volume of 205 cubic feet, and a density of 15 pounds per cubic foot.
That still seems a little high, but here's where the fun starts...
'Turns out the ball was made of 910 lbs. of popcorn, 690 lbs. of syrup, and 1,500 lbs. of SUGAR! :)
2006-07-25 15:52:49 · answer #2 · answered by Fred S 2 · 0⤊ 0⤋
The diameter of the sphere of popcorn is 6ft. You need to know how many cubic feet of popcorn there is, so you're trying to find volume.
Volume of spheres is calculated by 4/3 times pi times radius cubed. The radius is half of the diameter, so it is 3ft. So, plugging that in, you have 12*pi cubic feet, or about 37.7 cubic feet as your total.
2006-07-25 13:18:22 · answer #3 · answered by +Veritas+ 2 · 0⤊ 0⤋