Home
Class 12
MATHS
A right circular cone have slant height ...

A right circular cone have slant height 3 cm. Then its volume is maximum at height

A

3 cm

B

`sqrt(3)` cm

C

`(1)/(3)` cm

D

`(1)/(sqrt(3))` cm

Text Solution

Verified by Experts

The correct Answer is:
B
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

The radius of the base of a right circular cone is 6 cm and its slant height is 10 cm. Then its volume is (Use pi = (22)/(7) )

The diameter of a right circular cone is 8cm and its volume is 48 pi cm^(3). What is its height?

Find the curved surface area of a right circular cone whose slant height is 10cm and base radius is 7cm

The volume of a right circular cone is 100 pi cm^3 and its height is 12 cm. Find its slant height.

The slant height of a right circular cone is 3cm. The height of the cone if its volume is greatest is equal to

The diameter of the base of a right circular cone is 4 cm and its height 2sqrt(3) cm . The slant height of the cone is

The maximum volume (in cu.m) of the right circular cone having slant height 3m is ksqrt(3)pi . The value of k is ________.

The diameter of base of a right circular cone is 7 cm and slant height is 10 cm, then what is its lateral surface area?

The total surface area of a right circular cone of slant height 13 cm is 90 pi cm^(2) , find its radius and volume.

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

    |