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anonymous

  • one year ago

Lateral Area of a Cylinder Can someone please explain that to me real quick? I completely forgot how to do it.

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  1. anonymous
    • one year ago
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    https://suwannee.owschools.com/media/g_geo_2013/8/group100.gif

  2. butterflydreamer
    • one year ago
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    lateral area of a cylinder formula: \[lateral surface area of a cylinder = 2\pi r h\]

  3. anonymous
    • one year ago
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    So it's 150.72?

  4. phi
    • one year ago
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    If you cut the cylinder, and unrolled it, it would look like a rectangle. one side would be the (unrolled ) circumference of the circle, and the other side would be the height. The problem becomes: find the area of a rectangle.

  5. anonymous
    • one year ago
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    Oh yeah I remember now

  6. anonymous
    • one year ago
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    You use the hight of the cylinder as the length of the rectangle

  7. anonymous
    • one year ago
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    and the diameter as the width. or is it the other way around?

  8. phi
    • one year ago
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    not the diameter, the circumference (distance around) take a piece of paper and roll it to form a cylinder (with no top or bottom) It should be clearer what is going on. as for which side is height vs width of the rectangle, it's arbitrary what we call each side.

  9. anonymous
    • one year ago
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    Okay. Is the lateral area the same thing as surface area or no? I'm just wondering

  10. phi
    • one year ago
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    lateral (Latin for side) is the "side area" of the cylinder.... the part you can paint, but not including the top and bottom "circles" on a can of peas (for example), the lateral area is where the label goes.

  11. anonymous
    • one year ago
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    Oh that makes so much more sense! Oh My Gosh! I was thinking that lateral area was just another term for surface area

  12. anonymous
    • one year ago
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    Wow

  13. phi
    • one year ago
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    surface area usually means the *entire* surface (which means for a cylinder you add in the area of the top and bottom)

  14. anonymous
    • one year ago
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    Yeah that's where I was getting confused

  15. anonymous
    • one year ago
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    So 6 is the Height of the rectangle?

  16. anonymous
    • one year ago
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    Lateral area = a) 24 pi square units b) 48 pi square units c) 96 pi square units

  17. anonymous
    • one year ago
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    Those were the answer choices shown

  18. anonymous
    • one year ago
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    The area of a rectangle is Width times Height

  19. anonymous
    • one year ago
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    Base times Height

  20. anonymous
    • one year ago
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    It's C. 6 multiplied by 8 equals 48

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