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.
7m radius 15m height
To find the volume of the figure (which appears to be a cylinder), we can use the formula:
Volume = π * radius^2 * height
Plugging in the given values:
Volume = 3.14 * (7m)^2 * 15m
Volume = 3.14 * 49m^2 * 15m
Volume ≈ 3616.5 cubic meters
To find the surface area of the figure, we need to find the areas of the two circular bases and the lateral surface area of the cylinder.
The formula for the area of a circle is:
Area = π * radius^2
The formula for the lateral surface area of a cylinder is:
Lateral Surface Area = 2 * π * radius * height
Plugging in the given values:
Area of base = 3.14 * (7m)^2
Area of base = 3.14 * 49m^2
Area of base ≈ 153.9 square meters
Lateral Surface Area = 2 * 3.14 * 7m * 15m
Lateral Surface Area = 2 * 3.14 * 105m^2
Lateral Surface Area ≈ 329.4 square meters
To find the total surface area, we add the areas of the two bases and the lateral surface area:
Total Surface Area = 2 * (Area of base) + Lateral Surface Area
Total Surface Area ≈ 2(153.9 square meters) + 329.4 square meters
Total Surface Area ≈ 668.2 square meters
Therefore, the volume of the figure is approximately 3616.5 cubic meters, and the surface area is approximately 668.2 square meters.