Surface area of Cylinders and HW
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The document discusses the surface area formula for cylinders. It can be found by adding the area of the two circular bases and the lateral rectangular area. The total surface area is given as 2πrh + 2πr^2. Several examples are provided to demonstrate calculating the surface area of cylinders using given radii and heights. One example asks if 175 in^2 of gift wrap will be enough to cover a gift with a cylindrical container that has a height of 18 in and diameter of 3 in.
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Surface area of Cylinders and HW
- 1. Surface Area of Cylinders Unroll a cylinder to see what shapes make up a cylinder.
- 2. You have to find the area of the rectangle and the two circles. Given the radius of the circle and the height of the cylinder, how are you going to be able to do that? Area of the circles (bases) = 2πr² Area of the lateral rectangle = lw = (height of the cylinder)(circumference of the circle) or h(2πr). So, the total surface area of the cylinder is 2πrh + 2πr²
- 3. You can use algebra to make the total surface area formula shorter: 2πrh + 2πr²
- 4. Find the total surface area of the cylinder. 3 cm 10 cm SA=_______________ SA=_______________ SA=_______________
- 6. I want to wrap a gift that comes in a cylindrical canister that has a height of 18 in and a diameter of 3 in. Will 175 in2 of gift wrap be enough to cover the gift? SA=_______________ SA=_______________ SA=_______________
- 7. Homework: P. 554-555 #12-15, 17, 19, 20 all Show 3 steps! 1. Formula 2. Substitution 3. Answer w/label