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)
Responses
4,234.29 cm2
4,234.29 cm squared
1,739.95 cm2
1,739.95 cm squared
1,362.76 cm2
1,362.76 cm squared
1,508.77 cm2
1,508.77 cm squared
To find the surface area of the cylinder, we need to find the lateral surface area and the area of the two circular bases.
The lateral surface area of a cylinder can be calculated by the formula 2πrh where r is the radius and h is the height. Since the diameter is 15.5 cm, the radius is half of that which is 7.75 cm.
Lateral surface area = 2 * 3.14 * 7.75 * 28
Lateral surface area = 1,362.76 cm²
The area of the circular bases can be calculated using the formula πr² where r is the radius.
Area of one circular base = 3.14 * (7.75)²
Area of one circular base = 188.42 cm²
Since there are two circular bases, the total area for both bases would be 2 * 188.42 = 376.84 cm²
Total surface area of the cylinder = Lateral surface area + Total area of circular bases
Total surface area = 1,362.76 + 376.84
Total surface area = 1,739.95 cm²
Therefore, the correct answer is:
1,739.95 cm²
1,739.95 cm squared