Home
Class 14
MATHS
A reservoir is in the shape of a frus...

A reservoir is in the shape of a frustum of a right circular cone. It is 8 m across at the top and 4 m across at the bottom. If it is 6 m deep, then its capacity is `176\ m^3` (b) `196\ m^3` (c) `200\ m^3` (d) `110\ m^3`

A

`224 m^3`

B

`176 m^3`

C

`225 m^3`

D

none of these

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

Find the surface area of a frustum of a right circular cone with a slant height of 30 m, lower base radius 20 m and top radius of 15 m ?

The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:

The maximum volume (in cu.m) of the right circular cone having slant height 3 m is

The diamtere of a right circular cone in 14 m , while its slant height is 9 m. Find the volume of the cone.

The cross-section of a canal is trapezium in shape. The canal is 12 m wide at the top and 8 m wide at the bottom. If the area of the cross-section is 840 sq. m, the depth of the canal is (a) 8.75 m (b) 42 m (c) 63 m (d) 84 m

If 3m = 5m - 8/5 , then m = ?

A conical pit of top diameter 3.5m is 12m deep.What is its capacity in kilolitres?

A conical pit of top diameter 3.5m is 12m deep.What is its capacity in kilolitres?

The height of a right circular cylinder is 6 m. If three times the sum of the areas of its two circular faces is twice the area of the curved surface, then the radius of its base is (a) 1 m (b) 2 m (c) 3 m (d) 4 m

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

QUANTUM CAT-MENSURATION-QUESTION BANK
  1. A conical tent has 60^(@) angle at the vertex. The ratio of its radius...

    Text Solution

    |

  2. Water flows at the rate of 5 m per min from a cylindrical pipe 16 mm i...

    Text Solution

    |

  3. A reservoir is in the shape of a frustum of a right circular cone. ...

    Text Solution

    |

  4. A conical vessel whose internal radius is 10 cm and height 72 cm is fu...

    Text Solution

    |

  5. Find the volume and the surface area of a sphere of radius 3.5 cm.

    Text Solution

    |

  6. Find the volime, curved surface area and the total surface area of a h...

    Text Solution

    |

  7. How many bullets can be made from a sphere of 8 cm radius . The radiu...

    Text Solution

    |

  8. A sphere has the same curved surface as a cone of height 12 cm and bas...

    Text Solution

    |

  9. A spherical ball of lead 6 cm in radius is melted and recast into thre...

    Text Solution

    |

  10. The radius of a copper shpere is 12 cm. The sphere is melted and dr...

    Text Solution

    |

  11. A hemispherical bowl of internal radius 6 cm contains alcohol. This al...

    Text Solution

    |

  12. A hemispherical of lead of diameter 14 cm is cast into a right circula...

    Text Solution

    |

  13. The volume of a spherical shell whose external and internal diameters ...

    Text Solution

    |

  14. A solid metal ball of diameter 16 cm is melted and cast into smaller b...

    Text Solution

    |

  15. If a hemispherical dome has an inner radius 21 m then its volume ( in ...

    Text Solution

    |

  16. A sphere of radius 9 cm is dropped into a cylindrical vessel partly fi...

    Text Solution

    |

  17. If the height of a cone is half the radius of a sphere then the radius...

    Text Solution

    |

  18. From a solid sphere of radius 15 cm, a right circular cylindrical hole...

    Text Solution

    |

  19. If a plane cuts the hemisphere parallel to the great circle of the hem...

    Text Solution

    |

  20. A sphere of 5 cm radius is cut by two parallel planes which are 7 cm a...

    Text Solution

    |