Question
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An oblique cylinder is labeled with a height of 15 centimeters and radius 5 centimeters.
Find the surface area of the cylinder below. Use the approximation 3.14 for pi.
(1 point)
Responses
628 centimeters
628 centimeters
1,099 square centimeters
1,099 square centimeters
628 square centimeters
628 square centimeters
533.8 square centimeters
533.8 square centimeters
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An oblique cylinder is labeled with a height of 15 centimeters and radius 5 centimeters.
Find the surface area of the cylinder below. Use the approximation 3.14 for pi.
(1 point)
Responses
628 centimeters
628 centimeters
1,099 square centimeters
1,099 square centimeters
628 square centimeters
628 square centimeters
533.8 square centimeters
533.8 square centimeters
Skip to navigation
Answers
GPT 3.5
To find the surface area of the oblique cylinder, we need to calculate the curved surface area and the area of the two circular bases.
The curved surface area of a cylinder is given by the formula: CSA = 2πrh, where r is the radius and h is the height.
CSA = 2 * 3.14 * 5 cm * 15 cm
CSA = 471 cm^2 (approximated)
The area of a circle is given by the formula: A = πr^2.
Area of the circular bases = 2 * 3.14 * (5 cm)^2
Area of the circular bases = 157 cm^2 (approximated)
To find the total surface area, we add the curved surface area and the area of the bases.
Total Surface Area = CSA + 2 * Area of the circular bases
Total Surface Area = 471 cm^2 + 2 * 157 cm^2
Total Surface Area = 471 cm^2 + 314 cm^2
Total Surface Area = 785 cm^2 (approximated)
Therefore, the surface area of the oblique cylinder is approximately 785 square centimeters.
The curved surface area of a cylinder is given by the formula: CSA = 2πrh, where r is the radius and h is the height.
CSA = 2 * 3.14 * 5 cm * 15 cm
CSA = 471 cm^2 (approximated)
The area of a circle is given by the formula: A = πr^2.
Area of the circular bases = 2 * 3.14 * (5 cm)^2
Area of the circular bases = 157 cm^2 (approximated)
To find the total surface area, we add the curved surface area and the area of the bases.
Total Surface Area = CSA + 2 * Area of the circular bases
Total Surface Area = 471 cm^2 + 2 * 157 cm^2
Total Surface Area = 471 cm^2 + 314 cm^2
Total Surface Area = 785 cm^2 (approximated)
Therefore, the surface area of the oblique cylinder is approximately 785 square centimeters.
thats not right
GPT 3.5
I apologize for the incorrect response. Let's calculate the correct surface area of the oblique cylinder.
The curved surface area of a cylinder can be calculated using the formula: CSA = 2πrh.
Given that the height (h) is 15 centimeters and the radius (r) is 5 centimeters:
CSA = 2 * 3.14 * 5 cm * 15 cm
CSA = 471 cm² (approximate)
The area of each circular base can be calculated using the formula: A = πr².
Area of each circular base = 3.14 * (5 cm)²
Area of each circular base = 78.5 cm² (approximate)
To find the total surface area, we add the curved surface area to the area of both circular bases:
Total Surface Area = CSA + 2 * Area of each circular base
Total Surface Area = 471 cm² + 2 * 78.5 cm²
Total Surface Area = 471 cm² + 157 cm²
Total Surface Area = 628 cm²
Therefore, the correct surface area of the oblique cylinder is 628 square centimeters.
The curved surface area of a cylinder can be calculated using the formula: CSA = 2πrh.
Given that the height (h) is 15 centimeters and the radius (r) is 5 centimeters:
CSA = 2 * 3.14 * 5 cm * 15 cm
CSA = 471 cm² (approximate)
The area of each circular base can be calculated using the formula: A = πr².
Area of each circular base = 3.14 * (5 cm)²
Area of each circular base = 78.5 cm² (approximate)
To find the total surface area, we add the curved surface area to the area of both circular bases:
Total Surface Area = CSA + 2 * Area of each circular base
Total Surface Area = 471 cm² + 2 * 78.5 cm²
Total Surface Area = 471 cm² + 157 cm²
Total Surface Area = 628 cm²
Therefore, the correct surface area of the oblique cylinder is 628 square centimeters.
Adrian is painting the outside of a cylinder that he plans to use as a coffee table. The cylinder has a radius of 4 feet and a height of 3 feet. Adrian wants to paint all around the outside of the cylinder, including the top and bottom faces. In order to understand how much paint is needed, he wants to know the surface are of the outside of the cylinder. What is the surface area of the cylinder, measured in square feet? Use 3.14 for pi and round your answer to the nearest tenth.(1 point)
ft2
ft2
GPT 3.5
The surface area of the outside of the cylinder can be found by calculating the curved surface area and the area of the two circular bases.
The curved surface area of a cylinder is given by the formula: CSA = 2πrh, where r is the radius and h is the height.
CSA = 2 * 3.14 * 4 ft * 3 ft
CSA = 75.36 ft² (rounded to the nearest tenth)
The area of a circle is given by the formula: A = πr².
Area of each circular base = 3.14 * (4 ft)²
Area of each circular base = 50.24 ft² (rounded to the nearest tenth)
Now, to find the total surface area, we add the curved surface area and the area of the two circular bases.
Total Surface Area = CSA + 2 * Area of each circular base
Total Surface Area = 75.36 ft² + 2 * 50.24 ft²
Total Surface Area = 75.36 ft² + 100.48 ft²
Total Surface Area = 175.84 ft² (rounded to the nearest tenth)
Therefore, the surface area of the outside of the cylinder is approximately 175.8 square feet.
The curved surface area of a cylinder is given by the formula: CSA = 2πrh, where r is the radius and h is the height.
CSA = 2 * 3.14 * 4 ft * 3 ft
CSA = 75.36 ft² (rounded to the nearest tenth)
The area of a circle is given by the formula: A = πr².
Area of each circular base = 3.14 * (4 ft)²
Area of each circular base = 50.24 ft² (rounded to the nearest tenth)
Now, to find the total surface area, we add the curved surface area and the area of the two circular bases.
Total Surface Area = CSA + 2 * Area of each circular base
Total Surface Area = 75.36 ft² + 2 * 50.24 ft²
Total Surface Area = 75.36 ft² + 100.48 ft²
Total Surface Area = 175.84 ft² (rounded to the nearest tenth)
Therefore, the surface area of the outside of the cylinder is approximately 175.8 square feet.