find the volume of this cylinder. round to the nearest tenth.

(r = 5\text{ cm})
(5\text{ cm})

(v = ?\text{ cm}^3)

Question

find the volume of this cylinder. round to the nearest tenth.

(r = 5\text{ cm})
(5\text{ cm})

(v = ?\text{ cm}^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 Cylinder" ], "new_concepts": [], "current_concepts": [ "Volume of a Cylinder" ] } ## Identify the given dimensions of the cylinder $$ \begin{aligned} r &= 5\text{ cm} \ h &= 5\text{ cm} \end{aligned} $$ ## Calculate the volume using the cylinder volume formula $$ \begin{aligned} V &= \pi r^2 h \ V &= \pi (5)^2 (5) \ V &= 125\pi\text{ cm}^3 \end{aligned} $$ ## Evaluate numerically and round to the nearest tenth $$ \begin{aligned} V &\approx 125 \times 3.14159265 \ V &\approx 392.699 \ V &\approx 392.7\text{ cm}^3 \end{aligned} $$ Find the volume of this cylinder. Round to the nearest tenth. $V =$ 392.7 $\text{cm}^3$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Cylinder" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given dimensions of the cylinder

Calculate the volume using the cylinder volume formula

Evaluate numerically and round to the nearest tenth

Answer: