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lateral area of a cylinder formula: \[lateral surface area of a cylinder = 2\pi r h\]
So it's 150.72?
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.
Oh yeah I remember now
You use the hight of the cylinder as the length of the rectangle
and the diameter as the width. or is it the other way around?
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.
Okay. Is the lateral area the same thing as surface area or no? I'm just wondering
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.
Oh that makes so much more sense! Oh My Gosh! I was thinking that lateral area was just another term for surface area
surface area usually means the *entire* surface (which means for a cylinder you add in the area of the top and bottom)
Yeah that's where I was getting confused
So 6 is the Height of the rectangle?
Lateral area = a) 24 pi square units b) 48 pi square units c) 96 pi square units
Those were the answer choices shown
The area of a rectangle is Width times Height
Base times Height
It's C. 6 multiplied by 8 equals 48