Home
Class 12
MATHS
Find the volume of the largest cylinde...

Find the volume of the largest cylinder that can be inscribed in a sphere of radius `rc mdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos

  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

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

Prove that the volume of the largest cone, that can be inscribed in a sphere of radius Rdot\ is 8/(27)\ of the volume of the sphere.

Find the maximum volume of the cylinder which can be inscribed in a sphere of radius 3sqrt(3)cm (Leave the answer in terms of pi )

Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius 5sqrt(3)c m is 500pic m^3dot

What is the area of the largest triangle that can be inscribed in a semicircle of radius r unit.

What is the area of the largest triangle that can be inscribed in a semicircle of radius r unit.

What is the area of the largest triangle that can be inscribed in a semicircle of radius r unit.

What is the area of the largest triangle that can be inscribed in a semicircle of radius r unit.

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 (2R)/(sqrt(3)) .

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. Determine two positive numbers whose sum is 15 and the sum of whose ...

    Text Solution

    |

  2. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |

  3. Find the volume of the largest cylinder that can be inscribed in a s...

    Text Solution

    |

  4. A rectangular sheet of fixed perimeter with sides having their lengths...

    Text Solution

    |

  5. A square piece of tin of side 18 cm is to be made into a box withou...

    Text Solution

    |

  6. Find both the maximum and the minimum value of 3x^4-8x^3+ 12 x^2-48 x+...

    Text Solution

    |

  7. Show that f(x)=sin x(1+cosx) is maximum at x=pi/3 in the interval [0...

    Text Solution

    |

  8. Show that the triangle of maximum area that can be inscribed in a give...

    Text Solution

    |

  9. The sum of the surface areas of a cuboid with sides x ,2x and x/3 and ...

    Text Solution

    |

  10. Find the maximum and minimum value of f(x)=sinx+1/2cos2xin[0,pi/2]dot

    Text Solution

    |

  11. Prove that f(x)=sinx+sqrt(3)cosx has maximum value at x=pi/6dot

    Text Solution

    |

  12. Find the difference between the greatest and least values of the fu...

    Text Solution

    |

  13. Find the maximum and minimum values of f(x)=x^(50)-x^(20) in the inter...

    Text Solution

    |

  14. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then...

    Text Solution

    |

  15. At what points, the slope of the curve y=-x^3+3x^2+9x-27 is maximum? A...

    Text Solution

    |

  16. Show that the maximum value of (1/x)^x is e^(1/e)dot

    Text Solution

    |

  17. If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value ...

    Text Solution

    |

  18. A metal box with a square base and vertical sides is to contain 102...

    Text Solution

    |

  19. OR An open box with a square base is to be made out of a given quan...

    Text Solution

    |

  20. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |