Question

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

Answer:

$sa = 2\pi ({r})^{2} + 2\pi(r) \times h$

Step-by-step explanation:

Surface area of top and bottom of cylinder is equal to 2 circles. Take the circumference of one of the circles and multiply by the height. Add those values together to get SA.