text: Question
  
  # A cylindrical jar of radius 12 cm contains oil. Iron spheres each of radius 3 cm are immersed in the oil. How many such spheres are needed to raise the oil by 4 cm?16 8 10 32
  
  Solution
  
  ## The correct option is A 16 Note that, Volume of the cylinder with height  4 cm = n× Volume of one iron sphere, where n is the required number of iron spheres. Let R and r be the radii of the cylindrical jar and the iron sphere respectively. i.e., R=12 cm and r=3 cm Then we have,πR2h=n×43π×r3 ⟹π122×4=n×43π×33 ⟹n=16 ​
  
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explanation: The document contains a math question and its corresponding solution. The question asks how many iron spheres of a given radius are needed to raise the oil level in a cylindrical jar by a specified amount. The solution provides the correct answer and the steps to arrive at it.
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
  
  # A cylindrical jar of radius 12 cm contains oil. Iron spheres each of radius 3 cm are immersed in the oil. How many such spheres are needed to raise the oil by 4 cm?16 8 10 32
  
  Solution
  
  ## The correct option is A 16 Note that, Volume of the cylinder with height  4 cm = n× Volume of one iron sphere, where n is the required number of iron spheres. Let R and r be the radii of the cylindrical jar and the iron sphere respectively. i.e., R=12 cm and r=3 cm Then we have,πR2h=n×43π×r3 ⟹π122×4=n×43π×33 ⟹n=16 ​
  
  Suggest corrections
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding solution. The question asks how many iron spheres of a given radius are needed to raise the oil level in a cylindrical jar by a specified amount. The solution provides the correct answer and the steps to arrive at it.
  
  Label: question-and-answer