find the volume of the cone.

(v = ?\text{ cm}^3)
round to the nearest ten

Question

find the volume of the cone.

(v = ?\text{ cm}^3)
round to the nearest ten

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 $$ \begin{aligned} r &= 2\text{ cm} \ h &= 2\sqrt{3}\text{ cm} \end{aligned} $$ ## Calculate the volume using the cone volume formula $$ \begin{aligned} V &= \frac{1}{3}\pi r^2 h \ V &= \frac{1}{3}\pi (2)^2 (2\sqrt{3}) \ V &= \frac{8\sqrt{3}}{3}\pi \end{aligned} $$ ## Convert to a decimal and round to the nearest tenth $$ \begin{aligned} V &\approx \frac{8 \times 1.73205}{3} \times 3.14159 \ V &\approx 4.6188 \times 3.14159 \ V &\approx 14.51 \ V &\approx 14.5 \end{aligned} $$ Find the volume of the cone. $V =$ 14.5 $\text{cm}^3$ 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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Question

Explanation:

Identify the given dimensions of the cone

Calculate the volume using the cone volume formula

Convert to a decimal and round to the nearest tenth

Answer: