To find the surface area of a cylinder, you need to calculate the area of the two bases and the lateral surface area.
The formula to find the area of the bases of a cylinder is:
Area of base = π * r^2, where π is approximately 3.14 and r is the radius of the base.
Given the radius of the cylinder as 7 yards, the area of one base would be:
Area of base = 3.14 * 7^2 = 3.14 * 49 = 153.86 square yards
Since there are two bases, the total area of the bases would be:
Total base area = 2 * 153.86 = 307.72 square yards
The formula to find the lateral surface area of a cylinder is:
Lateral surface area = 2 * π * r * h, where r is the radius and h is the height of the cylinder.
Given the radius as 7 yards and the height as 8 yards, the lateral surface area would be:
Lateral surface area = 2 * 3.14 * 7 * 8 = 351.68 square yards
Therefore, the total surface area of the cylinder would be the sum of the base area and the lateral surface area:
Total surface area = Total base area + Lateral surface area
= 307.72 + 351.68
= 659.4 square yards
Using the approximation 3.14 for π, the surface area of the cylinder is approximately 659.4 square yards.
Find the surface area of the cylinder. Use the approximation 3.14 for pi. (1 point) Responses 329.7 square yards 329.7 square yards 577.76 square yards 577.76 square yards 252.77 square yards 252.77 square yards 252.77 yards
7 yd and 8 yd
3 answers
Nuh-uh. Thats wrong. Responses; 329.7 square yards 329.7 square yards 577.76 square yards 577.76 square yards 252.77 square yards 252.77 square yards 252.77 yards
Apologies for the incorrect answer. Let's recalculate the surface area correctly.
The formula to find the lateral surface area of a cylinder is:
Lateral surface area = 2 * π * r * h, where r is the radius and h is the height of the cylinder.
Given the radius as 7 yards and the height as 8 yards, the lateral surface area would be:
Lateral surface area = 2 * 3.14 * 7 * 8 = 351.68 square yards
The formula to find the area of the bases of a cylinder is:
Area of base = π * r^2, where r is the radius of the base.
Given the radius of the cylinder as 7 yards, the area of one base would be:
Area of base = 3.14 * 7^2 = 3.14 * 49 = 153.86 square yards
Since there are two bases, the total area of the bases would be:
Total base area = 2 * 153.86 = 307.72 square yards
Therefore, the total surface area of the cylinder would be the sum of the base area and the lateral surface area:
Total surface area = Total base area + Lateral surface area
= 307.72 + 351.68
= 659.4 square yards
Using the approximation 3.14 for π, the surface area of the cylinder is approximately 659.4 square yards.
Therefore, the correct response is 659.4 square yards.
The formula to find the lateral surface area of a cylinder is:
Lateral surface area = 2 * π * r * h, where r is the radius and h is the height of the cylinder.
Given the radius as 7 yards and the height as 8 yards, the lateral surface area would be:
Lateral surface area = 2 * 3.14 * 7 * 8 = 351.68 square yards
The formula to find the area of the bases of a cylinder is:
Area of base = π * r^2, where r is the radius of the base.
Given the radius of the cylinder as 7 yards, the area of one base would be:
Area of base = 3.14 * 7^2 = 3.14 * 49 = 153.86 square yards
Since there are two bases, the total area of the bases would be:
Total base area = 2 * 153.86 = 307.72 square yards
Therefore, the total surface area of the cylinder would be the sum of the base area and the lateral surface area:
Total surface area = Total base area + Lateral surface area
= 307.72 + 351.68
= 659.4 square yards
Using the approximation 3.14 for π, the surface area of the cylinder is approximately 659.4 square yards.
Therefore, the correct response is 659.4 square yards.