find the surface area of the cone below.
leave your answer in terms of $\pi$.

$7\text{ cm} = \ell$
$2\text{ cm}$

surface area of a cone
$sa = \pi r \ell + \pi r^2$

$sa = ? \pi\text{ cm}^2$

Question

find the surface area of the cone below.
leave your answer in terms of $\pi$.

$7\text{ cm} = \ell$
$2\text{ cm}$

surface area of a cone
$sa = \pi r \ell + \pi r^2$

$sa = ? \pi\text{ cm}^2$

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 Cone" ], "new_concepts": [], "current_concepts": [ "Surface Area of a Cone" ] } ## Identify the given values $$ \begin{aligned} r &= 2\text{ cm} \ \ell &= 7\text{ cm} \end{aligned} $$ ## Apply the surface area formula $$ \begin{aligned} \text{SA} &= \pi r \ell + \pi r^2 \ \text{SA} &= \pi (2)(7) + \pi (2)^2 \ \text{SA} &= 14\pi + 4\pi \ \text{SA} &= 18\pi\text{ cm}^2 \end{aligned} $$ ## Determine the missing value $$ \text{SA} = 18\pi\text{ cm}^2 \implies [?] = 18 $$ Find the surface area of the cone below. Leave your answer in terms of $\pi$. $\text{SA} =$ 18 $\pi\text{ cm}^2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Surface Area of a Cone" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values

Apply the surface area formula

Determine the missing value

Answer: