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The radius of a right circular cylinder of greatest curved surface which can be inscribed in a given right circular cone is
  • a)
     One third that of the cone
  • b)
    1/ times that of the cone
  • c)
     2/3 that of the cone
  • d)
    1/2 that of the cone
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The radius of a right circular cylinder of greatest curved surface whi...
 OE = x, OC = r, AO = h
∠AOC ≅ ∠QEC
AO / OC = QE/EC
(QE) = AO/OC(EC)
=h / r (r − x)
δx = 2πx (h / r(r − x))
=2 πhr (rx − x2)
δ'(x) = 0
x = r/2
derivating again
`delta''(r/2) = (2pih) / r(-2) < 0
r/2 is at maxima
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The radius of a right circular cylinder of greatest curved surface which can be inscribed in a given right circular cone isa)One third that of the coneb)1/times that of the conec)2/3 that of the coned)1/2 that of the coneCorrect answer is option 'D'. Can you explain this answer?
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The radius of a right circular cylinder of greatest curved surface which can be inscribed in a given right circular cone isa)One third that of the coneb)1/times that of the conec)2/3 that of the coned)1/2 that of the coneCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The radius of a right circular cylinder of greatest curved surface which can be inscribed in a given right circular cone isa)One third that of the coneb)1/times that of the conec)2/3 that of the coned)1/2 that of the coneCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of a right circular cylinder of greatest curved surface which can be inscribed in a given right circular cone isa)One third that of the coneb)1/times that of the conec)2/3 that of the coned)1/2 that of the coneCorrect answer is option 'D'. Can you explain this answer?.
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