9. (06.02 mc)

the circumference of a redwood tree trunk is $20\pi\text{ ft}$, and it is $100\text{ ft}$ tall. what is the approximate volume of the redwood tree trunk? (1 point)

$1,000\pi\text{ ft}^3$

$10,000\pi\text{ ft}^3$

$4,000\pi\text{ ft}^3$

$40,000\pi\text{ ft}^3$

Question

9. (06.02 mc)

the circumference of a redwood tree trunk is $20\pi\text{ ft}$, and it is $100\text{ ft}$ tall. what is the approximate volume of the redwood tree trunk? (1 point)

$1,000\pi\text{ ft}^3$

$10,000\pi\text{ ft}^3$

$4,000\pi\text{ ft}^3$

$40,000\pi\text{ ft}^3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Volume of Cylinders" ], "new_concepts": [], "current_concepts": [ "Volume of Cylinders" ] } ## Find the radius of the tree trunk Using the *Volume of Cylinders* knowledge point $$ \begin{aligned} C &= 2\pi r \ 20\pi &= 2\pi r \ r &= 10\text{ ft} \end{aligned} $$ ## Calculate the volume of the cylinder Using the *Volume of Cylinders* knowledge point $$ \begin{aligned} V &= \pi r^2 h \ V &= \pi (10)^2 (100) \ V &= 10,000\pi\text{ ft}^3 \end{aligned} $$

(A) $1,000\pi\text{ ft}^3$

(B) $10,000\pi\text{ ft}^3$

(C) $4,000\pi\text{ ft}^3$

(D) $40,000\pi\text{ ft}^3$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Volume of Cylinders" ] }

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QUESTION IMAGE

Question

Explanation:

Find the radius of the tree trunk

Calculate the volume of the cylinder

Answer: