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Q: Who invented the formula for the surface area of a right circular cylinder?

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archimedes

The formula for surface area of a cylinder is: 2(pi)r2+2(pi)rh. r= radius h= height.

A circular plane surface

A cylinder !

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Surface area of a cylinder = (pi) x (diameter of the circular end) x (length)

T=L+B

archimedes

A cylinder is not a prism because it has a circular base and therefore requires a different formula to figure out its volume, surface area, etc.

A cylinder has two circular faces.

A cylinder has two circular faces.

surface area of right circular cylinder = 2 pi r h +2 pi r2

The formula for surface area of a cylinder is: 2(pi)r2+2(pi)rh. r= radius h= height.

A circular plane surface

A cylinder !

A cylinder.

A cylinder has two circular ends, then the long side surface, which is actually a rectangle if you flatten it out. You need the radius of the circular end (distance from the middle to the edge), and the height of the cylinder to work out the surface area. Doing the circular ends first, the surface area is given by the formula PI x radius squared. PI is 3.1415 for normal use. There are two ends, so count the answer twice. The side surface is a rectangle with one side of the height of the cylinder, and the other side the circumference of the circular end. The circular end length is 2 x PI x radius of the circular end. Now multiple that answer by the height of the cylinder. Finally add together the area of the two ends (don't forget to count both), and the area of the rectangle making up the long side, nd that's your answer.

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