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Post-UTME Mathematics 2009 Objective — Question 5

Question 5 of 15 from the Post-UTME Screening (Post-UTME) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

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A cylinder of base radius 4cm is open at one end. If the ratio of the area of its base to that of its curved surface is 1:4, calculate the height of the cylinder.

  • A. 1cm
  • B. 2cm
  • C. 4cm
  • D. 8cmCorrect

Explanation

πr²:2πrh = 1:4 gives r:2h=1:4, so h=2r=8cm.

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