Find the surface area of the cylinder below. Use the Approximation 3.14 for pi. Base is 5cm Height is 15cm
To find the surface area of a cylinder, we need to find the areas of the two bases and the lateral surface area.
The formula for the area of a circle is: A = πr^2, where r is the radius.
The base of the cylinder is a circle with a radius of 5 cm. So the area of one base is: A_base = 3.14 * (5 cm)^2 = 3.14 * 25 cm^2 = 78.5 cm^2
The lateral surface area of a cylinder can be found using the formula: A_lateral = 2πrh, where r is the radius and h is the height.
So the lateral surface area is: A_lateral = 2 * 3.14 * 5 cm * 15 cm = 471 cm^2
The total surface area of the cylinder is the sum of the area of the two bases and the lateral surface area: A_total = 2 * A_base + A_lateral = 2 * 78.5 cm^2 + 471 cm^2 = 627 cm^2.
Therefore, the surface area of the given cylinder is 627 cm^2.