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PLEASE HELPP!!! GEOMETRY!!!!!!!?
4mm diameter air soft b-b's are made from a cube of plastic measuring 2 feet on each side. Its is then melted down and dropped into very cold water to form tiny spheres. How many b-b's can be made from one cube of plastic? If they are sold in cylindrical tubes with a circumference of 2 inches and a height of 8 inches in bunches of 250, how much space in the tube is wasted? (1in=15mm)
1 Answer
- ?Lv 69 years agoFavorite Answer
A) bb's:
d = 4 mm ===> r = 2 mm ===> Vbb = (4/3)πr³ = 33.51 mm³
cube:
s = 2 ft = 24 in = 24 * 25.4 = 609.6 mm
Vcube = s³ = 609.6³ = 226,534,773 mm³
#bb = Vcube/Vbb = 6,760,149 bbs
B) Vcyl = πr²h = πr²h
r = 1 in = 2.54 mm
h = 8 in = 8 * 2.54
Vcyl = 411.851839
#bb = 12
wasted = 0.290298 * 33.51 mm³ = 9.73 mm³
C) Total wasted = 9.73 mm³ * 250 = 2432 mm³
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