The surface area of a right circular cylinder can be calculated using the formula:
Surface Area = 2πr(r+h)
where r is the radius and h is the height.
Given that the diameter of the cylinder is 15.5 cm, the radius (r) is half of that, so r = 15.5/2 = 7.75 cm.
Substitute the values of r = 7.75 cm and h = 28 cm into the formula:
Surface Area = 2 * 3.14 * 7.75 * (7.75 + 28)
Surface Area = 2 * 3.14 * 7.75 * 35.75
Surface Area = 2 * 3.14 * 276.625
Surface Area = 1737.35 cm^2
Therefore, the surface area of the right circular cylinder is 1737.35 cm^2.
Aleksandr has a roll of paper that is in the shape of a right circular cylinder. It has a height of 28 cm and a diameter of 15.5 cm. Help Aleksandr solve for the surface area. Use 3.14 for π .(1 point)
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Aleksandr has a roll of paper that is in the shape of a right circular cylinder. It has a height of 28 cm and a diameter of 15.5 cm. Help Aleksandr solve for the surface area. Use 3.14 for π .(1 point)
In this case, the first step is to calculate the radius of the cylinder. The radius is half of the diameter, so the radius (r) is 15.5 cm / 2 = 7.75 cm.
Now we can calculate the lateral surface area of the cylinder using the formula:
Lateral Surface Area = 2 * π * r * h
Substitute the values of r = 7.75 cm and h = 28 cm into the formula:
Lateral Surface Area = 2 * 3.14 * 7.75 * 28
Lateral Surface Area = 2 * 3.14 * 217
Lateral Surface Area = 4309.64 square cm
Therefore, the lateral surface area of the right circular cylinder is 4309.64 square cm.
Now we can calculate the lateral surface area of the cylinder using the formula:
Lateral Surface Area = 2 * π * r * h
Substitute the values of r = 7.75 cm and h = 28 cm into the formula:
Lateral Surface Area = 2 * 3.14 * 7.75 * 28
Lateral Surface Area = 2 * 3.14 * 217
Lateral Surface Area = 4309.64 square cm
Therefore, the lateral surface area of the right circular cylinder is 4309.64 square cm.
Aleksandr has a roll of paper that is in the shape of a right circular cylinder. It has a height of 28 cm and a diameter of 15.5 cm. Help Aleksandr solve for the surface area. Use 3.14 for π .(1 point
The surface area of the right circular cylinder consists of two parts: the lateral surface area and the area of the two circular bases.
1. Lateral Surface Area:
The lateral surface area of a cylinder is calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius and h is the height.
Given the diameter is 15.5 cm, the radius r = 15.5/2 = 7.75 cm.
Thus, the lateral surface area = 2 * 3.14 * 7.75 * 28 cm² ≈ 1370.48 cm².
2. Area of Two Circular Bases:
The area of each circular base is:
Area of the circular base = πr²
Substitute r = 7.75 cm into the formula:
Area of each circular base = 3.14 * 7.75² cm² ≈ 188.56 cm²
Total surface area is the sum of the lateral surface area and the area of the two bases:
Total Surface Area = Lateral Surface Area + 2 * Area of Circular Base
Total Surface Area ≈ 1370.48 cm² + 2 * 188.56 cm²
Total Surface Area ≈ 1370.48 cm² + 377.12 cm² ≈ 1747.6 cm²
Therefore, the surface area of the right circular cylinder is approximately 1747.6 cm².
1. Lateral Surface Area:
The lateral surface area of a cylinder is calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius and h is the height.
Given the diameter is 15.5 cm, the radius r = 15.5/2 = 7.75 cm.
Thus, the lateral surface area = 2 * 3.14 * 7.75 * 28 cm² ≈ 1370.48 cm².
2. Area of Two Circular Bases:
The area of each circular base is:
Area of the circular base = πr²
Substitute r = 7.75 cm into the formula:
Area of each circular base = 3.14 * 7.75² cm² ≈ 188.56 cm²
Total surface area is the sum of the lateral surface area and the area of the two bases:
Total Surface Area = Lateral Surface Area + 2 * Area of Circular Base
Total Surface Area ≈ 1370.48 cm² + 2 * 188.56 cm²
Total Surface Area ≈ 1370.48 cm² + 377.12 cm² ≈ 1747.6 cm²
Therefore, the surface area of the right circular cylinder is approximately 1747.6 cm².