Home
Class 12
MATHS
The height of the cone of maximum volume...

The height of the cone of maximum volume inscribed in a sphere of radius R is

A

`h=(4r)/(3)`

B

`h=(3r)/(4)`

C

`h=(4)/(3r)`

D

`h=(3)/(4r)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

Prove that the height of a cylinder of maximum volume, inscribed in a sphere of radius 'a' is 2a//sqrt3 .

Show that the height of the cone of maximum volume that can be inscribed in a sphere of radius 12cm is 16cm.

Show that the height of the cone of maximum vvolume that can be inscribed in a sphere of radius 12cm is 16cm.

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius R is (4R)/(3) .

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3))

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is 2(R)/(sqrt(3)) .Also find maximum volume.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) Also find the maximum volume.

Show that the altitude of the right circulau cone of maximum volume that can be inscribed in a sphere of radius r is (4r) /(3) . also show that the maximum volume of cone is (8)/(27) of the volume of the sphere.

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4r)/(3) .

Show that the altitude of a right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3..

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. A metal wire of 36 cm long is bent to form a rectangle. Find its dimen...

    Text Solution

    |

  2. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  3. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  4. A rectangle is inscribed in a semicircle of radius 1 unit. If its two ...

    Text Solution

    |

  5. A window is in the form of a rectangle surmounted by a semi-circle....

    Text Solution

    |

  6. A rectangular sheet of paper has the area 24 sq. meters. The margin at...

    Text Solution

    |

  7. If a rectangle of maximum area is inscibed in the ellipse (x^(2))/(a^(...

    Text Solution

    |

  8. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  9. If P is the perimeter and r is the radius of a sector, then the area o...

    Text Solution

    |

  10. From a square cardboard of side 18 cms an open tank is made by cutting...

    Text Solution

    |

  11. From a metal sheet of area 192 sq. cm, a box with square base and open...

    Text Solution

    |

  12. Determine the points on the curve x^2=4y which are nearest to th...

    Text Solution

    |

  13. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |

  14. A right circular cone have slant height 3 cm. Then its volume is maxim...

    Text Solution

    |

  15. The height of the cone of maximum volume inscribed in a sphere of radi...

    Text Solution

    |

  16. An open cylindrical tank whose base is a circle is to be constructed o...

    Text Solution

    |

  17. Find the maximum volume of right circular cylinder, if the sum of its...

    Text Solution

    |

  18. If h is the height and r is the base radius of an open right circular ...

    Text Solution

    |

  19. The point on the curve y= sqrt(x-1) where the tangent is perpen...

    Text Solution

    |

  20. The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...

    Text Solution

    |