12 cm
r = 8 cm
v = ? cm^3
round to the nearest ten

Question

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" ] } ## Identify the given dimensions $$ \begin{aligned} r &= 8\text{ cm} \ h &= 12\text{ cm} \end{aligned} $$ ## Calculate the volume of the cone $$ \begin{aligned} V &= \frac{1}{3}\pi r^2 h \ V &= \frac{1}{3}\pi (8)^2 (12) \ V &= 4 \cdot 64 \cdot \pi \ V &= 256\pi \approx 804.2477\text{ cm}^3 \end{aligned} $$ ## Round to the nearest tenth $$ V \approx 804.2\text{ cm}^3 $$ Find the volume of the cone. Round to the nearest tenth. $V =$ 804.2 $\text{cm}^3$ { "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

Calculate the volume of the cone

Round to the nearest tenth

Answer: