livelyliving livelyliving
  • 07-04-2020
  • Mathematics
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When looking at the net of a cylinder, what is the relationship between the length of the rectangle and the circular base?

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opudodennis
opudodennis opudodennis
  • 12-04-2020

Answer:

[tex]l=\pi D[/tex]

Step-by-step explanation:

-The length of the rectangle is mathematically equivalent to the circumference of the cylinder's base.

-The circumference is given by the formula:

[tex]\pi D=2\pi r[/tex]

Where D is the base's diameter and it's twice the radius.

-Let l denote the length of the rectangle:

[tex]C=\pi D\\\\\therefore l=\pi D[/tex]

Hence, the relationship can be expressed as l = πD

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