A colony of ants constructs a mound that is 0.6 m high and 1.2 m wide at the base. If the mound is approximated as a cone, calculate its volume in cubic meters.
Answer
0.23 m³
The correct answer is 0.23 m³ — Round to two decimal places: 0.23 m³.
Step-by-step solution
- Radius of the base r = 1.2 m ÷ 2 = 0.6 m.
- Area of base = π r² = π × 0.6² = π × 0.36 = 1.13097 m².
- Volume V = 1/3 × area × height = 1/3 × 1.13097 m² × 0.6 m = 0.22619 m³.
- Round to two decimal places: 0.23 m³.
Common mistake: Using full width as radius instead of half width
Concept tested: Volume of conical shelter
Published · How this solution was prepared and checked
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