anonymous
  • anonymous
Lateral Area of a Cylinder Can someone please explain that to me real quick? I completely forgot how to do it.
Geometry
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
https://suwannee.owschools.com/media/g_geo_2013/8/group100.gif
butterflydreamer
  • butterflydreamer
lateral area of a cylinder formula: \[lateral surface area of a cylinder = 2\pi r h\]
anonymous
  • anonymous
So it's 150.72?

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phi
  • phi
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.
anonymous
  • anonymous
Oh yeah I remember now
anonymous
  • anonymous
You use the hight of the cylinder as the length of the rectangle
anonymous
  • anonymous
and the diameter as the width. or is it the other way around?
phi
  • phi
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.
anonymous
  • anonymous
Okay. Is the lateral area the same thing as surface area or no? I'm just wondering
phi
  • phi
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.
anonymous
  • anonymous
Oh that makes so much more sense! Oh My Gosh! I was thinking that lateral area was just another term for surface area
anonymous
  • anonymous
Wow
phi
  • phi
surface area usually means the *entire* surface (which means for a cylinder you add in the area of the top and bottom)
anonymous
  • anonymous
Yeah that's where I was getting confused
anonymous
  • anonymous
So 6 is the Height of the rectangle?
anonymous
  • anonymous
Lateral area = a) 24 pi square units b) 48 pi square units c) 96 pi square units
anonymous
  • anonymous
Those were the answer choices shown
anonymous
  • anonymous
The area of a rectangle is Width times Height
anonymous
  • anonymous
Base times Height
anonymous
  • anonymous
It's C. 6 multiplied by 8 equals 48

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