Please help urgent! 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 cylindera solid figure that has several curved surfacesA 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(HintThink about rolling a rectangular piece of paper into the shape of a cylinder.) Discuss your approach and why it works

The surface area of a cylinder is the surface area of rectangular piece of paper as you roll it into a cylinder and the surface area of the base and top areas:

Assume that you had a rectangular piece of paper with the long side h, and short side w, let h be the height of the cylinder as you roll it, the surface area generated is the circumference of the circle with radius r multiplied by the height = 2 ¶r h. The area of the top and bottom circular bases is 21 p².

The total surface area = 2 ¶rh+2¶r2 = 2

1r (h+ r) to express r in terms of w, w = 2 1r the width of the rectangle equal to the circumference of the circle, then the total surface area = w (h+ r)

but r = w/21, the surface area = w(h+w/ 21) = (wh+w2/21)

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.