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Discussion Topic
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.

Discussion Topic In This Unit You Calculated The Surface Area Of Solid Figures Composed Of Polygons Such As Rectangles And Triangles But Imagine Finding The Sur class=

Sagot :

Lhannearaujoidn

The formula for a surface area of a cylinder is  [tex]2 \pi r^{2} + 2\pi rh[/tex].

How do you develop a formula for finding the surface area?

For developing this formula you should consider that the surface area for a cylinder consists of the sum between the areas of circles and the rectangle, as shown in the image. Therefore, you have:

[tex]Cylinder_{surface area}= 2 * area_{circle} + area_{rectangle}\\ \\ Cylinder_{surface area}= 2 * (\pi *r^{2} ) + (b*h)\\ \\ Cylinder_{surface area}= 2 \pi r^{2} + bh\\ \\ Cylinder_{surface area}= 2 \pi r^{2} + 2\pi rh[/tex]

Read more about the surface area of a cylinder here:

https://brainly.com/question/6613758

View image Lhannearaujo
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