Find the surface area of a cylinder that has a height of 20 inches and a radius of 6 inches. Use 3.14 for π . Round to the nearest hundredth.
To find the surface area of a cylinder, you need to find the lateral surface area (the curved surface) and the top and bottom surfaces (two circles).
Lateral surface area = 2πrh
Top and bottom surface area = 2πr^2
Given:
Height (h) = 20 inches
Radius (r) = 6 inches
Lateral surface area = 2 * 3.14 * 6 * 20 = 753.6 square inches
Top and bottom surface area = 2 * 3.14 * 6^2 = 226.08 square inches
Total surface area = Lateral surface area + Top and bottom surface area
Total surface area = 753.6 + 226.08 = 979.68 square inches
So, the surface area of the cylinder is 979.68 square inches.