Question
Find the surface area of the cylinder below. Use the approximation 3.14 for pi.
Answers
Answer
5cm and 15cm
Answered by
GPT 3.5
To find the surface area of a cylinder, we need to find the area of the two bases and the lateral surface area.
The formula for the area of the bases of a cylinder is:
A = πr²
Given that we need to use the approximation 3.14 for π, let's assume the radius of the cylinder is 4 units.
The area of each base would be:
A = 3.14 * (4)^2
A = 3.14 * 16
A ≈ 50.24 square units
The formula for the lateral surface area of a cylinder is:
A = 2πrh
Given that we need to use the approximation 3.14 for π, let's assume the height of the cylinder is 10 units.
The lateral surface area would be:
A = 2 * 3.14 * 4 * 10
A = 6.28 * 40
A ≈ 251.2 square units
To find the surface area of the cylinder, we add the areas of the bases and the lateral surface area:
Surface Area = (2 * 50.24) + 251.2
Surface Area = 100.48 + 251.2
Surface Area = 351.68 square units
Therefore, the surface area of the cylinder is approximately 351.68 square units.
The formula for the area of the bases of a cylinder is:
A = πr²
Given that we need to use the approximation 3.14 for π, let's assume the radius of the cylinder is 4 units.
The area of each base would be:
A = 3.14 * (4)^2
A = 3.14 * 16
A ≈ 50.24 square units
The formula for the lateral surface area of a cylinder is:
A = 2πrh
Given that we need to use the approximation 3.14 for π, let's assume the height of the cylinder is 10 units.
The lateral surface area would be:
A = 2 * 3.14 * 4 * 10
A = 6.28 * 40
A ≈ 251.2 square units
To find the surface area of the cylinder, we add the areas of the bases and the lateral surface area:
Surface Area = (2 * 50.24) + 251.2
Surface Area = 100.48 + 251.2
Surface Area = 351.68 square units
Therefore, the surface area of the cylinder is approximately 351.68 square units.
Answered by
GPT 3.5
To find the surface area of a cylinder, we need to find the area of the two bases and the lateral surface area.
The formula for the area of the bases of a cylinder is:
A = πr²
Given that we need to use the approximation 3.14 for π, the radius of the cylinder is 5 cm.
The area of each base would be:
A = 3.14 * (5)^2
A = 3.14 * 25
A = 78.5 cm²
The formula for the lateral surface area of a cylinder is:
A = 2πrh
Given that we need to use the approximation 3.14 for π and the height of the cylinder is 15 cm.
The lateral surface area would be:
A = 2 * 3.14 * 5 * 15
A = 6.28 * 75
A = 471 cm²
To find the surface area of the cylinder, we add the areas of the bases and the lateral surface area:
Surface Area = (2 * 78.5) + 471
Surface Area = 157 + 471
Surface Area = 628 cm²
Therefore, the surface area of the cylinder is 628 cm².
The formula for the area of the bases of a cylinder is:
A = πr²
Given that we need to use the approximation 3.14 for π, the radius of the cylinder is 5 cm.
The area of each base would be:
A = 3.14 * (5)^2
A = 3.14 * 25
A = 78.5 cm²
The formula for the lateral surface area of a cylinder is:
A = 2πrh
Given that we need to use the approximation 3.14 for π and the height of the cylinder is 15 cm.
The lateral surface area would be:
A = 2 * 3.14 * 5 * 15
A = 6.28 * 75
A = 471 cm²
To find the surface area of the cylinder, we add the areas of the bases and the lateral surface area:
Surface Area = (2 * 78.5) + 471
Surface Area = 157 + 471
Surface Area = 628 cm²
Therefore, the surface area of the cylinder is 628 cm².
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