2.
Pi (π)• Pi is the ratio of a circles circumference to its diameter.• Therefore, Circumference/Diameter = Pi• The circumference is proportional to the diameter and therefore Pi remains constant.• A sphere is similar to a circle, except it is a three dimensional shape, and therefore Pi is applied to spheres.
3.
The Basketball• This is a simple glow in the dark basketball that I bought for myself a few years ago. I have always loved it and taken care of it. I always liked it because its glow in the dark and bounces pretty darn high (for a basketball). Now its being used as a school project. Sacrifices must be made.
4.
The Basketball (continued)Pi is written on the ball, to the extent of :3.1415926535897932384626433832795028841971693993751058209 7494459230781640628620899862803482534211706798214808651 3282306647093844609550582231725359408128481117450284102 7019385211055596446229489549303819644288109756659334461 2847564823378678316527120190914564856692346034861045432 6648213393607260249141273724587006606315588174881520920 9628292540917153643678925903600113305305488204665213841 4695194151160943305727036575959195309218611738193261179 3105118548074462379962749567351885752724891227938183011 9491298336733624406566430860213949463952247371907021798 60943702770539217176293176752384674818467669405132000568127 145263560827785771342757789609173637178721468440901 224953430146
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Measurements• The basketball is approximately 29 inches in circumference and approximately 9 inches tall
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Formulas for Spheres• Surface Area = 4πr2• Volume = (4/3) πr3• Circumference = 2πr
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My sphere (the basketball)• Since the diameter is 9 inches, the radius must be 4.5 inches. Therefore, by the given formula, the Surface area is 81π inches squared, or 254 inches squared. (4×π×4.52)• The volume is (243/2)π inches cubed, or 381 inches cubed. ((4/3)×π×4.53)• And finally, the circumference is 9π inches, or 28.3 (which is very close to my measurement of approximately 29 inches). (2×π×4.5)
8.
Conclusion• Pi is very important for determining the areas of spheres, circles, angles, sectors, arcs, and many other applications.
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