what number can be used to complete the volume statement for the cone?

volume = $\pi\text{ m}^3$

Question

what number can be used to complete the volume statement for the cone?

volume =   $\pi\text{ m}^3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Volume of a Cone" ], "new_concepts": [], "current_concepts": [ "Volume of a Cone", "Radius and Diameter" ] } ## Identify the given dimensions of the cone $$ \begin{aligned} &\text{Diameter } (d) = 3\text{ m} \ &\text{Radius } (r) = \frac{d}{2} = 1.5\text{ m} \ &\text{Height } (h) = 4\text{ m} \end{aligned} $$ ## Apply the cone volume formula $$ \begin{aligned} &V = \frac{1}{3}\pi r^2 h \ &V = \frac{1}{3}\pi (1.5)^2 (4) \ &V = \frac{1}{3}\pi (2.25) (4) \ &V = 3\pi\text{ m}^3 \end{aligned} $$ ## Determine the missing value for the statement $$ \text{Volume} = 3\pi\text{ m}^3 $$ What number can be used to complete the volume statement for the cone? Volume = 3 $\pi\text{ m}^3$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Cone" ] }

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Question

Explanation:

Identify the given dimensions of the cone

Apply the cone volume formula

Determine the missing value for the statement

Answer: