Question

Please help. I WILL give brainiest. Please I really need help. In this unit, you calculated the surface area of solid figures composed of polygons, such as rectangles and triangles. But imagine finding the surface area of a cylinder—a solid figure that has several curved surfaces. A cylinder is made up of two circular bases and a curved (lateral) surface in between. Develop a formula for finding the surface area of the outside of a cylinder based on what you know about the circumference of a circle and the areas of circles and rectangles. (Hint: Think about rolling a rectangular piece of paper into the shape of a cylinder.) Discuss your approach and why it works.

Answer 1

Don't know if this is correct...

Answer 2

Answer:

The surface area of a cylinder is the surface area of a rectangular piece of paper as you roll it into a cylinder, and the surface area of the base and top areas. Pretend that we have a rectangular piece of paper with the long side h, and short side w, let h be the height of the cylinder as we roll it, the surface area generated is the circumference of the circle with radius r multiplied by the height = 2 pi r h. The area of the top and bottom circular bases is 2 pi (r) 2. The total surface area = 2 pi r h + 2 pi (r) 2=2 pi r (h+r) to express r in terms of w , w=2 pi r the width of the rectangle equal to the circumference of the circle, then the total surface area = w (h+r), but r=w / 2 pi , the surface area = w (h+w / 2 pi)=(wh+(w) 2 / 2 pi)

or

A formula to find the volume of a cylinder is, a surface area of a cylinder would be the surface area of a rectangular piece of paper once you had rolled it into a cylinder.  A cylinder has about two components which are, the curved surface area and the flat surface area. I have a rectangular piece of paper in which the long side is h (Height), and the shorter side which would be w (Width). Then the surface area that I have generated would be the circumference of the circle. The radius ® would then be multiplied by h, for example: h=(2πrh). The top and bottom area is 2π ® 2, so the total surface area would end up being 2π (r) (h) + 2π ® 2=2π ® (h+r). One way to express r in a different phrase of w, would be w=2π ®. The w of the rectangle is equal to the circumference of the circle. The total surface area would be =w (h+w/2π)=wh+(w) 2/2π).

Step-by-step explanation:

I hope it helps also if you want to reword it you could put these into paraphrase and it should reword it for you please let me know if you need help with anything else

in case you need a picture I have the two answer but just in a picture just ion case you need it!

and also the paraphrasing thing that I use will be in the pictures too!