find the volume of the cone.
$13\text{ cm}$
$r = 9\text{ cm}$
$v = ?\text{ cm}^3$
round to the nearest tenth

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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 given dimensions $$ \begin{aligned} h &= 13\text{ cm} \ r &= 9\text{ cm} \end{aligned} $$ ## Apply the cone volume formula $$ \begin{aligned} V &= \frac{1}{3}\pi r^2 h \ V &= \frac{1}{3}\pi (9)^2 (13) \ V &= \frac{1}{3}\pi (81) (13) \ V &= 27 \times 13 \times \pi \ V &= 351\pi \end{aligned} $$ ## Calculate and round to the nearest tenth $$ \begin{aligned} V &\approx 351 \times 3.14159265 \ V &\approx 1102.699 \ V &\approx 1102.7 \end{aligned} $$ Find the volume of the cone. $V =$ 1102.7 $\text{cm}^3$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Cone" ] }

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Question

Explanation:

Identify given dimensions

Apply the cone volume formula

Calculate and round to the nearest tenth

Answer: