Home
Class 14
MATHS
Each edge of an equilateral triangle is ...

Each edge of an equilateral triangle is 'a' cm. A cone is formed by joining any two sides of the triangle.
What is the volume of the cone ?

A

`a^2/(24pi^3)sqrt(4-pi^2)`

B

`a^2/(24pi^3)sqrt(4pi^2-1)`

C

`a^3/(84pi^2)sqrt(1-4pi^2)`

D

`a/(sqrt3 pi^2) (1-2/pi)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

  • NUMBER SYSTEM

    QUANTUM CAT|Exercise QUESTION BANK|1091 Videos

Similar Questions

Explore conceptually related problems

Each side of an equilateral triangle is 8 cm. Its area is

Each side of an equilateral triangle is 8 cm . Its area is

Each side of an equilateral triangle is 6 cm. Its altitude is

Each side of an equilateral triangle is 8 cm long. Its area is

Each side of an equilateral triangle is 10 cm long. The height of the triangle is

Each side of an equilateral triangle measures 8 cm. The area of the triangle is

The height of an equilateral triangle having each side 12 cm, is

QUANTUM CAT-MENSURATION-QUESTION BANK
  1. The diameter of a semicircle and the base of an equilateral /\ABC coin...

    Text Solution

    |

  2. Each edge of an equilateral triangle is 'a' cm. A cone is formed by jo...

    Text Solution

    |

  3. Each edge of an equilateral triangle is 'a' cm. A cone is formed by jo...

    Text Solution

    |

  4. If the cone is cut along its axis from the middle , the new shape we o...

    Text Solution

    |

  5. If the sum of the radius and the height of a closed cylinder is 35 cm...

    Text Solution

    |

  6. An iron pillar has some part n the form of a right circular cylinder...

    Text Solution

    |

  7. ABCD is a square of side a cm. AB,BC,CD and Which of the following all...

    Text Solution

    |

  8. A rectangle has a perimeter of 26 . How many combinations of integral ...

    Text Solution

    |

  9. The total surface area of a hemisphere is 462 cm^2. Find its diameter ...

    Text Solution

    |

  10. A big cube of side 8 cm is formed by rearranging together 64 small but...

    Text Solution

    |

  11. A solid sphere of diameter 15 m is melted and recast into several smal...

    Text Solution

    |

  12. A cone is made of a sector with a radius of 14 cm and an angle of 60...

    Text Solution

    |

  13. Kishan Chand is a very labourious farmer , he erected a fence around ...

    Text Solution

    |

  14. A rectangular lawn is surrounded by a path of width 2 m on all sides...

    Text Solution

    |

  15. A cylinder with height and radius 2:1 is filled with soft drink and th...

    Text Solution

    |

  16. A cylinder with height and radius 2:1 is filled with soft drink and th...

    Text Solution

    |

  17. An elephant of length 4 m is at one corner of a rectangular cage 16m ...

    Text Solution

    |

  18. What is the height of the cone which is formed by joining the two ends...

    Text Solution

    |

  19. If a cube of maximum possible volume is cut off from a solid sphere of...

    Text Solution

    |

  20. In the adjoining figure PQRS is a square and MS=RN and A,P,Q and B li...

    Text Solution

    |