Find the surface area of the cylinder below. Use the approximation 3.14 for pi.
Radius: 1
Height: 3
The formula for the surface area of a cylinder is 2πrh + 2πr^2, where r is the radius and h is the height.
Given:
r = 1
h = 3
Plugging in the values into the formula:
Surface area = 2π(1)(3) + 2π(1^2)
Surface area = 2π(3) + 2π
Surface area = 6π + 2π
Surface area = 8π
Approximating pi as 3.14:
Surface area ≈ 8(3.14)
Surface area ≈ 25.12
Therefore, the surface area of the cylinder is approximately 25.12 square units.
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To find the surface area of a cylinder, you need to find the areas of the two circular bases and the curved surface area.
1. Start by finding the area of one circular base.
The formula to find the area of a circle is: A = π * r^2
Given the radius (r = 1), substitute the value into the formula: A = 3.14 * 1^2
Calculate: A = 3.14 * 1 = 3.14 square units
2. Since a cylinder has two circular bases, multiply the area of one base by 2 to get the total area of the bases:
Total base area = 2 * 3.14 = 6.28 square units
3. Next, calculate the curved surface area of the cylinder.
The formula for calculating the curved surface area of a cylinder is: A = 2 * π * r * h
Given the radius (r = 1) and height (h = 3), substitute the values into the formula: A = 2 * 3.14 * 1 * 3
Calculate: A = 2 * 3.14 * 3 = 18.84 square units
4. Finally, add the total base area and the curved surface area to get the total surface area of the cylinder:
Total surface area = Total base area + Curved surface area
Total surface area = 6.28 + 18.84 = 25.12 square units
Therefore, the surface area of the cylinder is approximately 25.12 square units (using the approximation 3.14 for pi).