what is the volume of a cylinder with a height of 10 inches if the area of its base is 40 square inches?

$400\text{ in}^3$
$1,256\text{ in}^3$
$4,000\text{ in}^3$
$12,560\text{ in}^3$

Question

what is the volume of a cylinder with a height of 10 inches if the area of its base is 40 square inches?

$400\text{ in}^3$
$1,256\text{ in}^3$
$4,000\text{ in}^3$
$12,560\text{ in}^3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Cylinder Geometry" ], "new_concepts": [], "current_concepts": [ "Cylinder Geometry", "Volume of a Cylinder" ] } ## Identify the given values and formula $$ \begin{aligned} B &= 40\text{ in}^2 \quad (\text{base area}) \ h &= 10\text{ in} \quad (\text{height}) \ V &= B \cdot h \quad (\text{volume formula}) \end{aligned} $$ ## Calculate the volume $$ \begin{aligned} V &= 40 \cdot 10 \ V &= 400\text{ in}^3 \end{aligned} $$

(A) $400\text{ in}^3$

(B) $1,256\text{ in}^3$

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

(D) $12,560\text{ in}^3$

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

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Question

Explanation:

Identify the given values and formula

Calculate the volume

Answer: