Find the total surface area and volume of the circular cylinder shown to the right.
8.23 radius 16.1 height
To find the total surface area of the cylinder, we need to calculate the areas of the two bases and the lateral surface area.
1. Base area: The base of a cylinder is a circle, so the formula to find the area of a circle is A = π * r^2, where r is the radius.
Therefore, the area of one base is: A1 = π * (8.23)^2
2. Lateral surface area: The lateral surface area of a cylinder is given by the formula A = 2 * π * r * h, where r is the radius and h is the height.
Therefore, the lateral surface area is: A2 = 2 * π * 8.23 * 16.1
3. Total surface area: The total surface area of a cylinder can be found by summing the areas of the two bases and the lateral surface area.
Therefore, the total surface area is: A_total = A1 + A1 + A2 = 2 * A1 + A2
Volume: The formula for the volume of a cylinder is V = π * r^2 * h.
Therefore, the volume of this cylinder is: V = π * (8.23)^2 * 16.1.