Home
Class 12
MATHS
Show that the cone of the greatest volum...

Show that the cone of the greatest volume which can be inscribed in a given sphere has an altitude equal to 2/3 of the diameter of the sphere.

A

`2//3`

B

`3//4`

C

`1//3`

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (MATCHING ENTRIES)|1 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (COMPREHENSION)|3 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise PROBLEM SET(3) (FILL IN THE BLANKS )|8 Videos

  • MATRICES

    ML KHANNA|Exercise COMPREHENSION|3 Videos

  • MEASURES OF CENTRAL TENDENCY

    ML KHANNA|Exercise ASSERTION / REASON|1 Videos

Similar Questions

Explore conceptually related problems

Show that the cone of greatest volume which can be inscribed in a given sphere is such that three times its altitude is twice the diameter of the sphere. Find the volume of the largest come inscribed ina sphere of radius R.

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

The altitude of a cylinder of the greatest possible volume which can be inscribed in a sphere of radius 3 sqrt3 is

The height of the cylinder of maximum volume which can be inscribed in a sphere of radius 3cm is

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

Find the volume of the larges cylinder that can be inscribed in a sphere of radius r

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

ML KHANNA-MAXIMA AND MINIMA -SELF ASSESSMENT TEST
  1. If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then fin...

    Text Solution

    |

  2. If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4) + … + a n x ^(2n) is a polyn...

    Text Solution

    |

  3. N Characters of information are held on magnetic tape, in batches of x...

    Text Solution

    |

  4. The maximum value of (ln x)/x is:

    Text Solution

    |

  5. For the curve y=x e^x , the point

    Text Solution

    |

  6. The point (0,5) is closest to the curve x^2 = 2y at

    Text Solution

    |

  7. Show that the cone of the greatest volume which can be inscribed in a ...

    Text Solution

    |

  8. The function f(x) = abs( px - q) + r absx, x in (-oo,oo) where p gt 0...

    Text Solution

    |

  9. (a) The minimum value of 5^((x^2 - 2)^(3 + 8)) is …. (b) Max. value ...

    Text Solution

    |

  10. The total number of local maxima and local minima of the function f(x)...

    Text Solution

    |

  11. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  12. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

    Text Solution

    |

  13. Let f,\ g\ a n d\ h be real-valued functions defined on the interva...

    Text Solution

    |

  14. The shortest distance between the lines y-x=1 and the curve x=y^2 is

    Text Solution

    |

  15. If f(x) = int0^x t^2 (t - 2) (t -3) dt for x in [0,oo] then

    Text Solution

    |

  16. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

    Text Solution

    |

  17. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  18. Let f be a function defined on R such that f'(x) = 2010(x - 2009) ...

    Text Solution

    |

  19. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))),w h e r e-pi...

    Text Solution

    |

  20. The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^...

    Text Solution

    |