To find the surface area of a cylinder, you need to calculate the sum of the areas of the two bases and the lateral surface area.
Given that the figure is not drawn to scale, I will take the height of the cylinder to be 20 units, and the radius to be 15 units.
The lateral surface area of a cylinder is given by: 2πrh, where r is the radius and h is the height.
Lateral Surface Area = 2 * π * 15 * 20
Lateral Surface Area = 1,888 in^2 (approx)
The area of each base (circle) is given by: πr^2, where r is the radius.
Base Area = π * 15^2
Base Area = 225π in^2
Base Area ≈ 707 in^2
Therefore, the total surface area of the cylinder is approximately:
Lateral Surface Area + 2 * Base Area
1,888 in^2 + 2 * 707 in^2
1,888 in^2 + 1,414 in^2
3,302 in^2
Therefore, the correct answer is not one of the provided options.
Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale.
(1 point)
Responses
1,659 in.2
1,659 in. 2
898 in.2
898 in. 2
5,862 in.2
5,862 in. 2
2,959 in.2
2,959 in. 2
1 answer
1 answer