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Calculate the real volume of tank B, in cm³.

Mathematics

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Answer

816480.9025 cm3\text{816480.9025 cm}^3

Step-by-step solution

3 steps

Here's the solution for 3.1:

3.1 Calculate the real volume of tank B, in cm³.

  1. Identify the dimensions of Tank B from TABLE 2 and convert them to centimeters.

    From TABLE 2, for Tank B:
    Diameter (D) = 730 mm730 \text{ mm}
    Height (H) = 1950 mm1950 \text{ mm}

    Convert millimeters to centimeters (1 cm=10 mm1 \text{ cm} = 10 \text{ mm}):

    Diameter (D)=730 mm×1 cm10 mm=73 cm\text{Diameter (D)} = 730 \text{ mm} \times \frac{1 \text{ cm}}{10 \text{ mm}} = 73 \text{ cm} Height (H)=1950 mm×1 cm10 mm=195 cm\text{Height (H)} = 1950 \text{ mm} \times \frac{1 \text{ cm}}{10 \text{ mm}} = 195 \text{ cm}
  2. Calculate the radius of Tank B.

    The radius (r) is half of the diameter:

    Radius (r)=D2=73 cm2=36.5 cm\text{Radius (r)} = \frac{\text{D}}{2} = \frac{73 \text{ cm}}{2} = 36.5 \text{ cm}
  3. Calculate the volume of Tank B using the given formula.

    The formula for the volume of a cylinder is Volume=π×(radius)2×height\text{Volume} = \pi \times (\text{radius})^2 \times \text{height}, with π=3.142\pi = 3.142.

    Volume=3.142×(36.5 cm)2×195 cm\text{Volume} = 3.142 \times (36.5 \text{ cm})^2 \times 195 \text{ cm} Volume=3.142×1332.25 cm2×195 cm\text{Volume} = 3.142 \times 1332.25 \text{ cm}^2 \times 195 \text{ cm} Volume=3.142×259888.75 cm3\text{Volume} = 3.142 \times 259888.75 \text{ cm}^3 Volume=816480.9025 cm3\text{Volume} = 816480.9025 \text{ cm}^3

    The real volume of tank B is 816480.9025 cm3\text{816480.9025 cm}^3.

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