Questions: Calculate the volume of liquid in the test tube sketched below. Give your answer in milliliters, and round to the nearest 0.1 mL.

Calculate the volume of liquid in the test tube sketched below. Give your answer in milliliters, and round to the nearest 0.1 mL.
Transcript text: Calculate the volume of liquid in the test tube sketched below. Give your answer in milliliters, and round to the nearest 0.1 mL.
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Solution

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Solution Steps

Step 1: Identify the dimensions of the test tube
  • Height (h) = 9.3 cm
  • Diameter (d) = 7.6 mm = 0.76 cm (since 1 cm = 10 mm)
Step 2: Calculate the radius of the test tube
  • Radius (r) = Diameter / 2 = 0.76 cm / 2 = 0.38 cm
Step 3: Use the formula for the volume of a cylinder
  • Volume (V) = πr²h
  • V = π * (0.38 cm)² * 9.3 cm
Step 4: Perform the calculation
  • V = π * 0.1444 cm² * 9.3 cm
  • V ≈ 3.1416 * 1.34292 cm³
  • V ≈ 4.22 cm³
Step 5: Convert cubic centimeters to milliliters
  • 1 cm³ = 1 mL
  • V ≈ 4.22 mL

Final Answer

The volume of liquid in the test tube is approximately 4.2 mL (rounded to the nearest 0.1 mL).

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