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GEOMETRY HELP!!! THANKS!!! :D?
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
- ireadlotsLv 69 years agoFavorite Answer
Each spherical air soft b-b has a diameter of 4mm= radius of 2 mm
Volume of a sphere = 4/3 * π * r^3
= 4/3 * π * (2)^3 = 32/3 * π ≈33.51 mm^3
The volume of a cylinder is area of base * height = πr^2 * h
Here the circumference is 2 inches, which is 30 mm, and the height is 8 inches = 120 mm
Circumference = 2πr, so r = C/(2π) = 30/(2π) = 15/π
Volume of cylinder = πr^2h = π(15/π)^2*120
= 225/π * 120
≈8594.37 mm^3
250 bbs take up 8377.5 mm^3, leaving 216.87 mm^3 wasted