Questions and Answers
What is a cylinder?
What is the surface area?
Total area of the outside of a figure
The formula for finding the surface area of a cylinder is $2\pi rh + \pi r^2$.
False
What is the length of the curved surface of a cylinder with a diameter of 10 decimeters?
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What is the surface area of a tube of tennis balls with a diameter of 4 inches and a height of 8 inches? (Use 3.14 for π.)
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What is the surface area of a can of soup with a diameter of 8 centimeters and a height of 10 centimeters? (Use 3.14 for π.)
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What is the surface area of a piece of pipe that is open at both ends, has a radius of 6 inches, and a height of 18 inches? (Use 3.14 for π.)
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What is the surface area that needs to be repainted for a circular swimming pool with a diameter of 16 feet and a depth of 5 feet? (Use 3.14 for π.)
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Study Notes
Cylinder
- A cylinder is a three-dimensional geometric shape featuring two parallel, equal circular bases connected by a curved surface.
Surface Area
- Surface area refers to the total area covering the exterior of a three-dimensional figure.
Surface Area Formula
- The correct surface area formula for a cylinder is given as (2\pi rh + 2\pi r^2). A statement with the formula (2\pi rh + \pi r^2) is false.
Curved Surface Length
- For a cylinder with a diameter of 10 decimeters, the length of the curved surface calculates to 31.4 decimeters.
Tennis Ball Tube Surface Area
- A tube of tennis balls with a diameter of 4 inches and height of 8 inches has a surface area of 125.6 square inches, using (\pi \approx 3.14).
Soup Can Surface Area
- A cylindrical soup can measuring 8 centimeters in diameter and 10 centimeters in height has a surface area of 351.68 square centimeters, rounded to the nearest hundredth, with (\pi) taken as 3.14.
Open Pipe Surface Area
- An open-ended pipe, 6 inches in radius and 18 inches in height, has a surface area of 678.24 square inches when calculated using (\pi \approx 3.14).
Circular Pool Repainting Area
- To repaint the floor and inside wall of a circular swimming pool with a diameter of 16 feet and a depth of 5 feet, the total surface area that needs repainting is 452.16 square feet, calculated using (\pi \approx 3.14).
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Description
Test your knowledge on cylinders and their surface area with this quiz based on SOS Math 800, Unit 8. Learn key terms and formulas essential for calculating the surface area of cylinders. Perfect for reinforcing your understanding of three-dimensional figures.
