To determine the area of the circular base of the cylinder, we use the formula for the area of a circle: A = πr^2. Plugging in the radius of 7 inches, we get A = 3.14 * 7^2 ≈ 153.86 square inches.
The width of the lateral face of the cylinder is the same as the height, which is 14 inches.
To determine the area of the lateral face of the cylinder, we use the formula for the lateral surface area of a cylinder: A = 2πrh. Plugging in the radius of 7 inches and height of 14 inches, we get A = 2 * 3.14 * 7 * 14 ≈ 615.44 square inches.
The total surface area of the cylinder is the sum of the area of the circular base and the area of the lateral face: Total surface area = area of base + area of lateral face. Plugging in the values we calculated, we get Total surface area ≈ 769.30 square inches.
Use the image below to answer the following questions. (Desmos Calculator: Ctrl + select to open in a new tab) (7th Grade Math Formula Chart: Ctrl + select to open in a new tab) How to Determine the Surface Area of a Cylinder (Ctrl + link to open in a new tab) (4 points) Remember to use 3.14 for π . Round to the nearest hundredths place (2 digits after the decimal). Determine the area of the circular base of the cylinder. square inches Determine the width of the lateral face of the cylinder. inches Determine the area of the lateral face of the cylinder. square inches What is the total surface area of the cylinder? square inches
14 in height 7 in radius
1 answer