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Find the surface area and volume of the figure.
18 ft
11 ft

User Fraank
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Final answer:

The problem involves finding the surface area and volume of a cylinder with a height of 18 ft and a diameter of 11 ft. Using the formulas for a cylinder's surface area and volume, appropriate calculations can be performed to determine the cylinder's surface area and volume.

Step-by-step explanation:

To find the surface area and volume of a given figure, we need to identify the shape of the object. The question does not specify the shape, but the provided formulas suggest that we might be dealing with a cylinder. For a cylinder:

  • The surface area (A) is calculated as the sum of the areas of the two circular bases (which are π×r² each, where r is the radius) plus the area of the side, which is the circumference of the base multiplied by the height (2π×r×h).
  • The volume (V) is the area of the base (π×r²) multiplied by the height (h).

If the cylinder has a height (h) of 18 ft and a diameter of 11 ft (radius is half of the diameter, so r = 5.5 ft), we can calculate its surface area and volume using the following formulas:

  • A = 2π×r×h + 2π×r²
  • V = π×r²×h

Plugging in the values:

  • A = 2π×5.5×18 + 2π×5.5²
  • V = π×5.5²×18

Now, you can substitute π with approximately 3.1416 to find the numeric answers. Remember to use the unit ft² for surface area and ft³ for volume.

User Highland Mark
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