Find the surface area of the cylinder below. Use the approximation 3.14 for pi. (1 point) 1,099 square centimeters 628 centimeters 628 square centimeters 533.8 square centimeters
To find the surface area of a cylinder, we need to add the areas of the two bases and the lateral surface area.
The formula to find the area of a cylinder's base is A = πr², where A is the base area and r is the radius. In this case, we'll need to square the radius to get the base area.
Given the approximation π ≈ 3.14, we should use this value in our calculations.
Let's assume the radius of the cylinder is 5 cm.
1. Base area:
A = πr²
A = 3.14 * (5 cm)²
A ≈ 3.14 * 25 cm²
A ≈ 78.5 cm²
2. Lateral surface area:
To find the lateral surface area, we multiply the circumference of the base by the height of the cylinder. The circumference is calculated using the formula C = 2πr.
C = 2πr
C = 2 * 3.14 * 5 cm
C ≈ 31.4 cm
Let's assume the height of the cylinder is 10 cm.
Lateral Surface Area = C * height
Lateral Surface Area ≈ 31.4 cm * 10 cm
Lateral Surface Area ≈ 314 cm²
3. Total surface area:
To find the total surface area, we add the areas of the two bases and the lateral surface area.
Total Surface Area = 2(base area) + lateral surface area
Total Surface Area = 2 * 78.5 cm² + 314 cm²
Total Surface Area = 157 cm² + 314 cm²
Total Surface Area ≈ 471 cm²
So, the approximate surface area of the given cylinder is 471 square centimeters. None of the provided options match this answer.