A wooden stick is made from a tree trunk with a diameter of 12 cm. The stick is 0.3 m long. Find the volume of wood in cubic metres. Use π = 3.14.
Answer
0.0034 m³
The correct answer is 0.0034 m³ — State the final answer.
Step-by-step solution
- Convert diameter to radius in metres: 12 cm ÷ 2 = 6 cm = 0.06 m.
- Apply the cylinder volume formula: V = π r² h.
- Compute r²: (0.06)² = 0.0036.
- Multiply by π and height: 3.14 × 0.0036 × 0.3 = 0.0033912 m³.
- Round to four decimal places: 0.0034 m³.
- State the final answer.
Common mistake: Incorrect radius conversion or squaring error
Concept tested: Cylinder volume of wood
Published · How this solution was prepared and checked
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