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Geometry

This guide covers the concept of surface area in cylinders, also known as circular prisms. It explains the process of calculating the surface area by adding the areas of circular ends and the rectangular side. We'll discuss how to find the area of the circular ends using the formula A = πr², and how to determine the area of the side as a rectangle, represented as A = 2πrh. An example calculation with dimensions is provided for clarity. This resource is designed to enhance comprehension of geometric principles related to cylinders.

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Geometry

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  1. Geometry Surface Area of Cylinders By Mr. Wall

  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

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