Find the surface area of the cylinder below. Use the approximation 3.14 for pi
The height is 15 cm, the radius is 5 cm.
1. 5.33.8 square centimeters.
2. 623 square centimeters
3. 1,099 square centimeters
4. 623 centimeters
To find the surface area of a cylinder, we need to find the area of the two bases (circles) and the area of the curved surface.
The area of a circle is given by the formula A = πr^2, where r is the radius.
The area of the two bases (circles) can be found by substituting the given radius (5 cm) into the formula:
A_base = π(5 cm)^2 = 3.14(25 cm^2) ≈ 78.5 cm^2
The curved surface area can be found by the formula A_curved = 2πrh, where r is the radius and h is the height.
A_curved = 2 * 3.14 * 5 cm * 15 cm ≈ 471 cm^2
Now, we can find the total surface area of the cylinder by adding the areas of the two bases and the curved surface:
Total Surface Area = A_base + A_base + A_curved = 78.5 cm^2 + 78.5 cm^2 + 471 cm^2 ≈ 628 cm^2
Therefore, the surface area of the cylinder is approximately 628 square centimeters, which is not one of the provided options.