a cylinder has a diameter of 10 units.

its radius is choose an answer units. if its height is twice its radius, its height is choose an answer units. its volume is about choose an answer cubic units.

Question

a cylinder has a diameter of 10 units.

its radius is choose an answer units. if its height is twice its radius, its height is choose an answer units. its volume is about choose an answer cubic units.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Volume of Cylinder" ], "new_concepts": [], "current_concepts": [ "Volume of Cylinder" ] } ## Calculate the radius from the diameter $$ \begin{aligned} d &= 10 \ r &= \frac{d}{2} = \frac{10}{2} = 5 \end{aligned} $$ ## Calculate the height from the radius $$ \begin{aligned} h &= 2r \ h &= 2 \times 5 = 10 \end{aligned} $$ ## Calculate the volume of the cylinder $$ \begin{aligned} V &= \pi r^2 h \ V &= \pi \times 5^2 \times 10 \ V &= 250\pi \approx 250 \times 3.14159 \approx 785 \end{aligned} $$ A cylinder has a diameter of 10 units. Its radius is 5 units. If its height is twice its radius, its height is 10 units. Its volume is about 785 cubic units. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Volume of Cylinder" ] }

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Question

Explanation:

Calculate the radius from the diameter

Calculate the height from the radius

Calculate the volume of the cylinder

Answer: