Question

Find the surface area of the cylinder as pictured below with a = 2 cm and B=

3 cm. Use 3.14 fors and round your answer to the nearest hundredth. Do not
include units in your answer.
Help plz

Answer 1

Dm me for the answer can’t do it rn

Answer 2

62.83

Explanation:

Okay, so the surface area of the cylinder will end up being the area of the top and bottom portion added to the area of the body of it. The top and bottom are both circles, so those should be relatively easy to find. I'm assuming the main question is how to find the area of the body of a cylinder right? It takes a bit of intuitive thought, but should make sense once it's explained to you.

Imagine if you could take the cylinder, cut it vertically (straight up and down), and then unfold it into a flat shape. What would it come out to be?... As it turns out, the shape ends up being a rectangle!

So the area of the body of a cylinder is similar to the area of a rectangle, that is, length×width. Except in this scenario, the "width" = the height of the cylinder and the "length" = the circumference if the circular bases. My work and some illustrations are in the attachment provided, but the unsimplified version of your ultimate equation should come out to be:

`2\pi {r}^(2) + 2\pi {r} {h}`

Or the following using A and B:

`2\pi {a}^(2) + 2\pi {a} {b}`