Geometry please help asap

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

Surface Area = top & bottom areas = 2pi(r)^2 plus h x circumference = h2pi(r)

It's twice the area of the circular base plus the circumference times height

SA = 2A + hC = 2pir^2 + 2rhpi = 2pir( r+h)

(the cigarette analogy helps on the 2rhpi side area, the surface area of the paper wrapping the tobacco (or whatever you're smoking. lettuce? peace pipe? or those chocolate cigarettes they make for children? maybe the analogy is that if you think about these math problems long enough, you'll die like smoking too many years. it wears down your internal organs & brain neurons or lungs).

pi is for circles and cyclical relations. pi shows up in the circular bottom as well as the circular circumference. Circle, circumference start with circ- prefix. You find yourself going in circles, thinking about this.