Q. The ratio of the curved surface area of a cylinder to its total surface area is 2 : 3. The ratio of its radius to height is:

  • (A) 1 : 2
  • (B) 2 : 1
  • (C) 1 : 1
  • (D) 2 : 3
βœ… Correct Answer: (A) 1 : 2
Explanation: 2πrh : 2πr(h + r) = 2 : 3 ⇒ h : (h + r) = 2 : 3 ⇒ h = 2r. Hence r : h = 1 : 2.
Explanation by: Mahesh Chandra
2πrh : 2πr(h + r) = 2 : 3 ⇒ h : (h + r) = 2 : 3 ⇒ h = 2r. Hence r : h = 1 : 2.

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