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Calculate the volume of liquid in the tank sketched below. Give your answer in liters, and round to the nearest 0.01L.

Question

Calculate the volume of liquid in the tank sketched below.

Give your answer in liters, and round to the nearest 0.01L.

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Solution

To calculate the volume of the liquid in the tank, we typically need the tank's dimensions and its shape (cylinder, cube, etc.).

1. ### Break Down the Problem

  1. Identify the shape of the tank and its dimensions (e.g., height, radius for a cylinder).
  2. Determine the formula for the volume based on the shape of the tank.

2. ### Relevant Concepts

  • For a cylindrical tank, the volume V V can be calculated using the formula: V=πr2h V = \pi r^2 h where:

    • r r = radius of the base of the cylinder
    • h h = height of the cylinder
  • For a rectangular tank, the volume can be calculated using the formula: V=l×w×h V = l \times w \times h where:

    • l l = length
    • w w = width
    • h h = height

3. ### Analysis and Detail

  1. Insert the identified dimensions into the volume formula.
  2. Calculate the volume in cubic meters or cubic centimeters (if using metric dimensions).
  3. Convert this volume into liters:
    • 1cubic meter=1000liters 1 \, \text{cubic meter} = 1000 \, \text{liters}
    • 1liter=1000cubic centimeters 1 \, \text{liter} = 1000 \, \text{cubic centimeters}

4. ### Verify and Summarize

  • After performing the calculations, verify if the volume is computed correctly.
  • Ensure the final answer is rounded to the nearest 0.01 L.

Final Answer

Once the dimensions are provided, substitute them into the appropriate formula, calculate the volume, convert it to liters, and round to 0.01 L for the final result.

This problem has been solved

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