math proyect (part 1)

math proyect (part 1)
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  • Georgina was playing basketball with her friend Millie and Ms. Lopez, her math teacher. After 4 rounds they took a break, as Georgina drank her water, her fried Milie asked her.
  • ¨What could be the Area for the label of the bottle?¨
  • “Well you see, the area of the label is the same as Lateral Surface Area.”
  • “What is the Lateral Surface Area?”
  • “The Lateral Surface area is the area of the surface that does not include the top or bottom of the bottle.” 
  • “The surface area has different formulas for cylinders and prisms. The bottle has the shape of a cylinder so, we would use the formula S=2πrh
  • S=2πrh
  • “Ms. Lopez what does S=2πrh mean?”
  • “Good question Millie, the S is for your answer, the 2π means to multiply 2 with pi. The r means radius and the h means height,”
  • “If the bottle had a diameter of 20 and a height of 6, the radius must be 10...”
  • “but how you get the 10, Ms. Lopez?”
  • “The diameter is doubled from the radius. In this case the diameter is 20,  the diameter is 2 times bigger than the radius so, to get the radius we need to divide by 2, and that give us 10.”
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