Find the surface area of a cylinder with a diameter of 12inches and a height of 10 inches. Use approximation of 3.14 for pi
To find the surface area of a cylinder, you need to calculate the sum of the areas of the two circular bases and the lateral surface area.
First, let's find the area of each base by using the formula for the area of a circle: A = πr^2, where A is the area and r is the radius.
Given that the diameter of the cylinder is 12 inches, the radius (r) is half the diameter: r = 12 inches / 2 = 6 inches.
The area of each base is A = 3.14 × (6 inches)^2 = 3.14 × 36 square inches = 113.04 square inches.
Since there are two bases, the total area of the bases is 2 × 113.04 square inches = 226.08 square inches.
Next, let's calculate the lateral surface area. The lateral surface area of a cylinder is given by the formula A = 2πrh, where h is the height.
The lateral surface area is A = 2 × 3.14 × 6 inches × 10 inches = 376.8 square inches.
Finally, compute the total surface area of the cylinder by adding the area of the two bases and the lateral surface area: 226.08 square inches + 376.8 square inches = 602.88 square inches.
Therefore, the surface area of the cylinder is approximately 602.88 square inches.