unit exam - surface area and volume

find the total surface area of the cylinder.

$sa = ?\text{ cm}^2$
round to the nearest hundredth
use 3.14

Question

unit exam - surface area and volume

find the total surface area of the cylinder.

$sa = ?\text{ cm}^2$
round to the nearest hundredth
use 3.14

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Surface Area of a Cylinder" ], "new_concepts": [], "current_concepts": [ "Surface Area of a Cylinder" ] } ## Identify given dimensions $$ \begin{aligned} r &= 5\text{ cm} \ h &= 5\text{ cm} \ \pi &\approx 3.14 \end{aligned} $$ ## Calculate total surface area $$ \begin{aligned} SA &= 2\pi r^2 + 2\pi r h \ SA &= 2(3.14)(5)^2 + 2(3.14)(5)(5) \ SA &= 2(3.14)(25) + 2(3.14)(25) \ SA &= 157 + 157 \ SA &= 314\text{ cm}^2 \end{aligned} $$ ## Format final value $$ SA = 314.00 $$ Find the total surface area of the cylinder. $SA =$ 314 $\text{cm}^2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Surface Area of a Cylinder" ] }

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QUESTION IMAGE

Question

Explanation:

Identify given dimensions

Calculate total surface area

Format final value

Answer: