text: • # question_answer A right circular cone of radius 3 cm, has a curved surface area of $47.1\text{ }c{{m}^{2}}$. Find the volume of the cone. (use$\pi =3.14$)
  
   Given, radius of right circular cone $=3\text{ }cm$ and, curved surface area $=47.1\text{ }c{{m}^{2}}$ $\pi rl=47.1$ $l=\frac{47.1}{3.14\times 3}=5\,cm$ $\therefore h=\sqrt{{{l}^{2}}-{{r}^{2}}}$ $=\sqrt{{{(5)}^{2}}-{{(3)}^{2}}}$ $=\sqrt{25-9}=4\,cm$ Now,     Volume of cone $=\frac{1}{3}\pi {{r}^{2}}h$ $=\frac{1}{3}\times 3.14\times 3\times 3\times 4$ $=37.68\,c{{m}^{3}}$
explanation: The document contains a math question and its corresponding answer. The question asks for the volume of a right circular cone given its radius and curved surface area. The answer provides the step-by-step calculation to find the volume.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: • # question_answer A right circular cone of radius 3 cm, has a curved surface area of $47.1\text{ }c{{m}^{2}}$. Find the volume of the cone. (use$\pi =3.14$)
  
   Given, radius of right circular cone $=3\text{ }cm$ and, curved surface area $=47.1\text{ }c{{m}^{2}}$ $\pi rl=47.1$ $l=\frac{47.1}{3.14\times 3}=5\,cm$ $\therefore h=\sqrt{{{l}^{2}}-{{r}^{2}}}$ $=\sqrt{{{(5)}^{2}}-{{(3)}^{2}}}$ $=\sqrt{25-9}=4\,cm$ Now,     Volume of cone $=\frac{1}{3}\pi {{r}^{2}}h$ $=\frac{1}{3}\times 3.14\times 3\times 3\times 4$ $=37.68\,c{{m}^{3}}$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question asks for the volume of a right circular cone given its radius and curved surface area. The answer provides the step-by-step calculation to find the volume.
  
  Label: question-and-answer