find the volume of this cone. round to the nearest tenth.
? $\text{ft}^3$

Question

find the volume of this cone. round to the nearest tenth.
 ?  $\text{ft}^3$

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" ] } ## Identify the given dimensions of the cone $$ \begin{aligned} r &= 8\text{ ft} \ h &= 10\text{ ft} \end{aligned} $$ ## Calculate the volume using the cone volume formula $$ \begin{aligned} V &= \frac{1}{3}\pi r^2 h \ V &= \frac{1}{3}\pi (8)^2 (10) \ V &= \frac{640}{3}\pi \ V &\approx 213.333\pi \ V &\approx 670.206\text{ ft}^3 \end{aligned} $$ ## Round to the nearest tenth $$ V \approx 670.2\text{ ft}^3 $$ Find the volume of this cone. Round to the nearest tenth. 670.2 $\text{ft}^3$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Cone" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given dimensions of the cone

Calculate the volume using the cone volume formula

Round to the nearest tenth

Answer: