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
A). 1,508.77 cm2
1,508.77 cm squared
B). 1,362.76 cm2
1,362.76 cm squared
C). 4,234.29 cm2
4,234.29 cm squared
D). 1,739.95 cm2
The formula for the surface area of a cylinder is 2πrh + 2πr^2, where r is the radius and h is the height.
Given that the diameter is 15.5 cm, the radius is half of that, so r = 15.5 / 2 = 7.75 cm.
Substitute the values into the formula:
Surface area = 2 * 3.14 * 7.75 * 28 + 2 * 3.14 * 7.75^2
Surface area = 2 * 3.14 * 217 + 2 * 3.14 * 60.0625
Surface area = 6.28 * 217 + 6.28 * 60.0625
Surface area = 1,336.76 + 376.1375
Surface area = 1,712.8975 cm^2
Therefore, the closest answer is:
B). 1,362.76 cm^2
1,362.76 cm squared