26How much metal is used to make a soup can? Surface Area of CylindersHow much metal is used to make a soup can?
27Surface Area of a cylinder = Area of top + Area of bottom + Area of the sideTOPSIDEBOTTOM
28Area of a circle is πr2.Since there are 2 circles that make up the net of a cylinder then, the area is 2(πr2).
29C=2πr C h So the area of the rectangle is (2πr)h. The area of a rectangle is the product of the two sides. One side is the height of the can, the other side is the circumference of the circle, since the label wraps once around the can.C=2πrChSo the area of the rectangle is (2πr)h.
30Surface Area of a Cylinder = Add those two parts together and you have the formula for the surface area of a cylinder.Surface Area of a Cylinder =2(π r 2) + (2 π r)hCircles + Rectangle
31Example 1:Find the surface area of this cylinder.r = 3 cmh = 6 cm