1 / 13

Calculate the Surface Area of Cylinders Using Geometry Principles

Understanding the surface area of a cylinder is crucial in geometry. A cylinder, also known as a circular prism, consists of two parallel and equal circular bases. To calculate its surface area, we can add the areas of its two circular bases and the rectangular side. The area of each circular end can be found using the formula A = πr². The area of the rectangular side (the "unwrapped" surface) is calculated using A = 2πrh, where r is the radius and h is the height of the cylinder. Together, these formulas help determine the total surface area.

melba
Télécharger la présentation

Calculate the Surface Area of Cylinders Using Geometry Principles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geometry Surface Area of Cylinders

  2. Surface Area • Cylinder – (circular prism) a prism with two parallel, equal circles on opposite sides. To find the surface area of a cylinder we can add up the areas of the separate faces.

  3. Surface Area • In a cylinder there are a pair of opposite and equal circles. We can find the surface area of a cylinder by adding the areas of the two blue ends (A) and the yellow sides (B). A B

  4. Surface Area • We can find the area of the two ends (A) by using the formula for the area of a circle. • A = π r2 5cm A 8cm B

  5. Surface Area • We can find the area of the two ends (A) by using the formula for the area of a circle. • A = π r2 5cm A 8cm B

  6. Surface Area • If we “unwrapped” the cylinder, what shape would the outside “B” be? 5cm A 8cm B

  7. Surface Area • “B” would be in the shape of a rectangle, with the height forming one side and the circumference of the top forming the second side. 5cm A 8cm B

  8. Surface Area • A = b * h • A =2πr * h 5cm A 8cm B

  9. Surface Area • A =2πr * h • A = 2 (3.14) (5) * 8 5cm A 8cm B

  10. Surface Area • A =2πr * h • A = 251.2 cm2 5cm A 8cm B

  11. Surface Area • A =2πr * h • A = 251.2 cm2 5cm A 8cm B

  12. Surface Area • Sketch cylinder and copy table. Work together to find the S.A.

  13. Surface Area • Sketch cylinder and copy table. Calculate S.A. • Assignment 4.1m A A 1.9m

More Related