Alexander 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 Alexander solve for the surface area use 3.14 for tt what is the answer be 1508.77 cm or 1739.95 cm or 4,234.29 cm or 1362.76 cm
To find the surface area of a right circular cylinder, we need to calculate the lateral surface area and the two circular bases.
The lateral surface area can be calculated using the formula:
Lateral Surface Area = 2 * π * r * h
where r is the radius and h is the height.
First, we need to find the radius using the diameter given:
radius = diameter / 2 = 15.5 cm / 2 = 7.75 cm
Now we can substitute the values into the formula:
Lateral Surface Area = 2 * 3.14 * 7.75 cm * 28 cm
Lateral Surface Area = 2 * 3.14 * 217 cm^2
Lateral Surface Area = 1362.76 cm^2
The surface area of the two circular bases can be calculated using the formula:
Circular Base Area = 2 * π * r^2
Substitute the radius into the formula:
Circular Base Area = 2 * 3.14 * (7.75 cm)^2
Circular Base Area = 2 * 3.14 * 60.0625 cm^2
Circular Base Area = 377.1575 cm^2
Now add up the lateral surface area and the two circular bases areas to get the total surface area:
Total Surface Area = Lateral Surface Area + 2 * Circular Base Area
Total Surface Area = 1362.76 cm^2 + 2 * 377.1575 cm^2
Total Surface Area = 1362.76 cm^2 + 754.315 cm^2
Total Surface Area = 2117.075 cm^2
Therefore, the closest answer from the choices provided is approximately 2117.08 cm^2.