select the correct answer.

a sphere has a radius of 6.2 centimeters. what is the approximate lateral surface area?

$77.9\text{ cm}^2$

$241.5\text{ cm}^2$

$483.1\text{ cm}^2$

$39.0\text{ cm}^2$

Question

select the correct answer.

a sphere has a radius of 6.2 centimeters. what is the approximate lateral surface area?

$77.9\text{ cm}^2$

$241.5\text{ cm}^2$

$483.1\text{ cm}^2$

$39.0\text{ cm}^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Surface Area of Spheres" ], "current_concepts": [ "Surface Area of Spheres" ] } ## State the surface area formula for a sphere $$ S = 4\pi r^2 $$ ## Substitute the given radius and calculate $$ \begin{aligned} r &= 6.2\text{ cm} \ S &= 4 \times \pi \times (6.2)^2 \ S &= 4 \times \pi \times 38.44 \ S &= 153.76\pi \ S &\approx 153.76 \times 3.14159265 \ S &\approx 483.05\text{ cm}^2 \end{aligned} $$ ## Match with the closest option $$ S \approx 483.1\text{ cm}^2 $$

(A) $77.9\text{ cm}^2$

(B) $241.5\text{ cm}^2$

(C) $483.1\text{ cm}^2$

(D) $39.0\text{ cm}^2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Surface Area of Spheres" ] }

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QUESTION IMAGE

Question

Explanation:

State the surface area formula for a sphere

Substitute the given radius and calculate

Match with the closest option

Answer: