Find the volume and surface area of the figure. Use 3.14 as the approximate value of pie. Round your answer to the nearest tenth, if necessary.
14m raidius 18m height
To find the volume of the figure, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Given:
Radius (r) = 14m
Height (h) = 18m
Approximate value of π = 3.14
Plugging in these values, we get:
Volume = 3.14 * (14m)^2 * 18m
Volume ≈ 3.14 * (196m^2) * 18m
Volume ≈ 35,079.84m^3
Therefore, the volume of the figure is approximately 35,079.84 cubic meters.
To find the surface area of the figure, we need to consider the curved surface area as well as the surface area of the circular top and bottom.
The curved surface area of a cylinder can be found using the formula:
Curved Surface Area = 2 * π * r * h
Plugging in the given values, we get:
Curved Surface Area = 2 * 3.14 * 14m * 18m
Curved Surface Area ≈ 2 * 3.14 * 252m^2
Curved Surface Area ≈ 3,998.08m^2
The surface area of the circular top and bottom of the cylinder can be found using the formula:
Surface Area of Circle = 2 * π * r^2
Plugging in the given values, we get:
Surface Area of Circle = 2 * 3.14 * (14m)^2
Surface Area of Circle ≈ 2 * 3.14 * 196m^2
Surface Area of Circle ≈ 2,450.24m^2
Now, we can find the total surface area by adding up the curved surface area and the surface area of the circles:
Total Surface Area = Curved Surface Area + 2 * Surface Area of Circle
Total Surface Area ≈ 3,998.08m^2 + 2 * 2,450.24m^2
Total Surface Area ≈ 3,998.08m^2 + 4,900.48m^2
Total Surface Area ≈ 8,898.56m^2
Therefore, the surface area of the figure is approximately 8,898.56 square meters.