find the lateral surface area of the cylinder.
$\text{lsa} = ?\text{ cm}^2$
round to the nearest hundredth.
use 3.14

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Surface Area of a Cylinder" ], "new_concepts": [ "Lateral Surface Area" ], "current_concepts": [ "Surface Area of a Cylinder", "Lateral Surface Area" ] } ## Identify the given dimensions Using the *Surface Area of a Cylinder* knowledge point $$ \begin{aligned} r &= 2\text{ cm}\ h &= 7\text{ cm}\ \pi &\approx 3.14 \end{aligned} $$ ## Calculate the lateral surface area Using the *Surface Area of a Cylinder* knowledge point $$ \begin{aligned} \text{LSA} &= 2\pi r h\ \text{LSA} &= 2 \times 3.14 \times 2 \times 7\ \text{LSA} &= 87.92\text{ cm}^2 \end{aligned} $$ Find the lateral surface area of the cylinder. $\text{LSA} =$ 87.92 $\text{cm}^2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Surface Area of a Cylinder" ] }

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Explanation:

Identify the given dimensions

Calculate the lateral surface area

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