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Prove that the radius of the right circu...

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

A

one third that of the cone

B

`1//sqrt2` times that of the cone

C

2/3 that of the cone

D

1/2 that of the cone

Text Solution

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The correct Answer is:
D
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Prove that the radius of the right circular cylinder of greatest curved surface area which can be insribed in a given cone is half of that of the cone.

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Knowledge Check

  • The altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is

    A
    r/2
    B
    r/3
    C
    (3r)/4
    D
    (4r)/3

  • The altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is

    A
    r/2
    B
    r/3
    C
    (3r)/4
    D
    (4r)/3

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