what is the volume of the can below? use $\pi = 3.14$ and round your answer to the nearest tenth.

cubic millimeters

Question

what is the volume of the can below? use $\pi = 3.14$ and round your answer to the nearest tenth.

cubic millimeters

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Cylinder Geometry", "Radius and Diameter" ], "new_concepts": [], "current_concepts": [ "Cylinder Geometry", "Radius and Diameter", "Cylinder Volume" ] } ## Identify the given dimensions of the cylinder $$ \begin{aligned} d &= 66\text{ mm} \ h &= 96\text{ mm} \ \pi &\approx 3.14 \end{aligned} $$ ## Calculate the radius of the cylinder $$ r = \frac{d}{2} = \frac{66}{2} = 33\text{ mm} $$ ## Calculate the volume and round to the nearest tenth $$ \begin{aligned} V &= \pi r^2 h \ V &= 3.14 \times 33^2 \times 96 \ V &= 3.14 \times 1089 \times 96 \ V &= 3419.46 \times 96 \ V &= 328268.16 \approx 328268.2\text{ mm}^3 \end{aligned} $$ What is the volume of the can below? Use $\pi = 3.14$ and round your answer to the nearest tenth. 328268.2 cubic millimeters { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Cylinder Volume" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given dimensions of the cylinder

Calculate the radius of the cylinder

Calculate the volume and round to the nearest tenth

Answer: