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Questions and Answers
What is a cylinder?
What is a cylinder?
- A triangle
- A three-dimensional figure with two parallel, equal circular bases and a curved surface (correct)
- A two-dimensional shape
- A square figure
What is the surface area?
What is the surface area?
Total area of the outside of a figure
The formula for finding the surface area of a cylinder is $2\pi rh + \pi r^2$.
The formula for finding the surface area of a cylinder is $2\pi rh + \pi r^2$.
False (B)
What is the length of the curved surface of a cylinder with a diameter of 10 decimeters?
What is the length of the curved surface of a cylinder with a diameter of 10 decimeters?
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.)
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.)
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.)
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.)
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.)
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.)
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.)
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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