1. 10-4: Surface Area of Cylinders
Page 665 & 685
22)
Yes
23)
24) No
25)
Page 685
13)
LSA = 200 cm2
SA = 250 cm2
14)
LSA = 1080 cm2
SA = √3 cm2
22)
Multiplied by 4
25)
h = 3.5m
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10-4: Surface Area of Cylinders

2. 10-4: Surface Area of Cylinders
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10-4: Surface Area of Cylinders

3. Surface Area of Cylinders
Section 10-4
Geometry PreAP, Revised ©2014
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10-4: Surface Area of Cylinders

4. Surface Area vs. Lateral Surface Area
The surface area of a 3-D figure is the sum of the areas of all the faces or surfaces that enclose the solid.
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10-4: Surface Area of Cylinders

5. 10-4: Surface Area of Cylinders
Definitions
The lateral surface of a cylinder is the curved surface that connects the two bases.
The axis of a cylinder is the segment with endpoints at the centers of the bases.
The axis of a right cylinder is perpendicular to its bases.
The axis of an oblique cylinder is not perpendicular to its bases. The altitude of a right cylinder is the same length as the axis.
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10-4: Surface Area of Cylinders

6. Area Formulas for Prisms
Lateral Area of a Right Cylinder: L = 2πrh where r is radius and h is height
Surface Area of a Right Cylinder: S = 2πrh + 2πr2
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10-4: Surface Area of Cylinders

7. Expanding the Formulas
Lateral Surface Area of a Cylinder:
C = circumference of base
r = radius of base
h = height of the cylinder
Total Surface Area of a Cylinder:
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10-4: Surface Area of Cylinders

8. 10-4: Surface Area of Cylinders
Example 1
Find the lateral area and surface area of the right cylinder. Give your answers in terms of .
11/19/2018 9:32 AM
10-4: Surface Area of Cylinders

9. 10-4: Surface Area of Cylinders
Example 1
Find the lateral area and surface area of the right cylinder. Give your answers in terms of .
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10-4: Surface Area of Cylinders

10. 10-4: Surface Area of Cylinders
Example 2
Find the surface area of the composite figure.
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10-4: Surface Area of Cylinders

11. 10-4: Surface Area of Cylinders
Example 2
Find the surface area of the composite figure.
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10-4: Surface Area of Cylinders

12. 10-4: Surface Area of Cylinders
Example 2
Find the surface area of the composite figure.
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10-4: Surface Area of Cylinders

13. 10-4: Surface Area of Cylinders
Example 3
Find the surface area of the composite figure.
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10-4: Surface Area of Cylinders

14. 10-4: Surface Area of Cylinders
Example 3
Find the surface area of the composite figure.
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10-4: Surface Area of Cylinders

15. 10-4: Surface Area of Cylinders
Example 3
Find the surface area of the composite figure.
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10-4: Surface Area of Cylinders

16. 10-4: Surface Area of Cylinders
Your Turn
Find the surface area of the composite figure.
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10-4: Surface Area of Cylinders

17. 10-4: Surface Area of Cylinders
Example 3
The height and diameter of the cylinder are multiplied by 1/2. Describe the effect on the surface area.
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10-4: Surface Area of Cylinders

18. 10-4: Surface Area of Cylinders
Your Turn
Find the lateral and volume of a right cylinder with base area 144 cm2 and a height that is 1/3 the radius
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10-4: Surface Area of Cylinders

19. 10-4: Surface Area of Cylinders
Assignment
Page all, 24, 33
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10-4: Surface Area of Cylinders