Home
Class 12
MATHS
The height of a cylinder of the greatest...

The height of a cylinder of the greatest volume that can be inscribed in a sphere of radius 3 is

A

`3sqrt(3)`

B

`2sqrt(3)`

C

`sqrt(3)`

D

`sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

Height of the cylinder of maximum volume that can be inscribed in a sphere of radius 12 cm is

The height of the cylinder of maximum volume which can be inscribed in a sphere of radius 'r' is

The volume of the largest cone that can be inscribed in a sphere of radius = 9cm is

The least perimeter of a right circular cylinder of maximum volume which can be inscribed in a sphere of radius R, is

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (4 MAY SHIFT 1)-Mathematics
  1. If the plane passing through the points (1, 2, 3), (2, 3, 1) and (3, 1...

    Text Solution

    |

  2. underset(x to -oo)lim(3|x|-x)/(|x|-2x)-underset(xto0)lim(log(1+x^(3)))...

    Text Solution

    |

  3. If f(x)={{:((x-2)/(|x-2|)+a,x lt 2),(a+b,x=2),((x-2)/(|x-2|)+b,x gt 2)...

    Text Solution

    |

  4. If f(x)={{:((x^(2)log(cosx))/(log(1+x^(2))),x ne 0),(0,x = 0):}, then ...

    Text Solution

    |

  5. Match the items given in List-I with those of the items of List - II ...

    Text Solution

    |

  6. If y=((sin^(-1)x)^(2))/(2), then (1-x^(2))y(2)-xy(1)=

    Text Solution

    |

  7. If the relative errors in the base radius and the height of a cone are...

    Text Solution

    |

  8. The normal at a point theta to the curve x=a(1+cos theta),y=a sin thet...

    Text Solution

    |

  9. Let f(x) be continuous on [0, 6] and differentiable on (0, 6). Let f(0...

    Text Solution

    |

  10. If (alpha,beta) and (gamma,delta) where alpha lt gamma, are the turnin...

    Text Solution

    |

  11. The height of a cylinder of the greatest volume that can be inscribed ...

    Text Solution

    |

  12. int(dx)/((e^(x)+e^(-x))^(2))=

    Text Solution

    |

  13. int(0)^(pi//2)(dx)/(1+(tanx)^(sqrt(2018)))=

    Text Solution

    |

  14. If int(x)/((x^(2)+1)(x-1))dx=A log|x^(2)+1|+B tan^(-1)x+C log|x-1|+d, ...

    Text Solution

    |

  15. int(0)^(pi//2)(cos^(3)x)/(sinx+cosx)dx=

    Text Solution

    |

  16. int(0)^(3)(2+x^(2))dx=

    Text Solution

    |

  17. The area enclosed (in square units) by the curve y=x^(4)-x^(2), the X-...

    Text Solution

    |

  18. The differential equation corresponding to the family of circles havin...

    Text Solution

    |

  19. The general solution of the differential equation (x^(2)+xy)y'=y^(2) i...

    Text Solution

    |

  20. At any point on a curve, the slope of the tangent is equal to the sum ...

    Text Solution

    |