find the volume of the cone.
$v = ?\text{ cm}^3$
round to the nearest ten

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Volume of a Cone" ], "new_concepts": [], "current_concepts": [ "Volume of a Cone" ] } ## Identify the given dimensions Using the *Volume of a Cone* knowledge point $$ \begin{aligned} &h = 12\text{ cm}\ &r = 5\text{ cm} \end{aligned} $$ ## Calculate the volume Using the *Volume of a Cone* knowledge point $$ \begin{aligned} V &= \frac{1}{3}\pi r^2 h\ V &= \frac{1}{3}\pi (5)^2 (12)\ V &= 4\pi (25)\ V &= 100\pi\ V &\approx 314.159\text{ cm}^3 \end{aligned} $$ ## Round to the nearest tenth Using the *Volume of a Cone* knowledge point $$ V \approx 314.2\text{ cm}^3 $$ Find the volume of the cone. $V =$ 314.2 $\text{cm}^3$ Round to the nearest tenth. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Cone" ] }

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Explanation:

Identify the given dimensions

Calculate the volume

Round to the nearest tenth

Answer: