Home
Class 10
MATHS
An open metallic bucket is the shape o...

An open metallic bucket is the shape of a frustum of a cone mounted on a hollow cuylinderical base made of the same metallic sheet . The surface area of the metallic sheet used is equal to curved surface area of frustum of a cone + area of circular base + curved surface area of cylinder.

Text Solution

Verified by Experts

True
Because the resulting figure is

Henc, ABCD is a frustum of a cone and CDEF is a hollow cylinder.
Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR|Exercise LONG ASWERS QUESTIONS|5 Videos
  • TRIANGLES

    NCERT EXEMPLAR|Exercise Triangles|57 Videos

Similar Questions

Explore conceptually related problems

Surface Area of a Frustum

An open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The diameters of the two circular ends of the bucket are 45 cm and 25 cm, the total vertical height of the bucket is 40 cm and that of the cylindrical base is 6 cm. Find the area of the metallic sheet used to make the bucket, where we do not take into account the handle of the bucket. Also, find the volume of water the bucket can hold.

Find the curved surface area of frustum of a cone of height 12 cm and radii of circular ends are 9 cm and 4 cm.

Prove that the surface area of a sphere is equal to the curved surface area of the circumscribed cylinder.

Derive the formula for the curved surface area and total surface area of the frustum of a cone.

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular cone is insido tho cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder. Consider the following statements : 1. The surface area of the sphere is sqrt5 times the curved surface area of the cone. 2. The surface area of the cube is equal to the curved surface area of the cylinder. Which of the above statements is/are correct ?

The base of two cones are of same diameter. Ratio of their slant height is 5:4. If curved surface area of smaller cone is 400cm^(2) then find the curved surface area of bigger one.]

The surface area of a sphere is the same as the curved surface area of a cone having the radius of the base as 120 cm and height 160 cm. Find the radius of the sphere.

The height of a cone is 24 cm and the diameter of its base is 14 cm. The curved surface area of the cone is

NCERT EXEMPLAR-SURFACE AREAS AND VOLUMES-Surface Areas And Volumes
  1. The capacity of a cylinder vessel with a hemisphere portion raised up...

    Text Solution

    |

  2. The curved surface area of frustum of a cone is pi//(r(1) +r(2)), wh...

    Text Solution

    |

  3. An open metallic bucket is the shape of a frustum of a cone mounted...

    Text Solution

    |

  4. Three metallic solid cubes whose edges are 3 cm ,4 cm and 5 cm melted...

    Text Solution

    |

  5. How many shots each having diameter 3 cm can be made form a cuboid...

    Text Solution

    |

  6. A bucket is in the form of a frustum of a cone and holds 28.490 lit...

    Text Solution

    |

  7. A cone of radius 8 cm and height 12 cm is divided into two parts by a ...

    Text Solution

    |

  8. 2 cubes each of volume 64"\ "c m^3 are joined end to end. Find the ...

    Text Solution

    |

  9. From a solid cube of side 7 cm, a conical cavity of height 7 cm and ...

    Text Solution

    |

  10. Two cones with same base radius 8 cm and height 15 cm are joine...

    Text Solution

    |

  11. Two solid cones A and B are placed in a cylindrical tube as shown in t...

    Text Solution

    |

  12. An ice-ceram cone full of ice-cream having radius 5 cm height 10 c...

    Text Solution

    |

  13. Mearbles of diameter 1.4 cm are dropped into a cylindrical beaker of d...

    Text Solution

    |

  14. How many spherical lead shots each 4.2 cm in diameter can be obtain...

    Text Solution

    |

  15. How many spherical bullets can be made out of a solid cube of lead ...

    Text Solution

    |

  16. A wall 24 m long, 0.4 m thick and 6 m high is constructed with the br...

    Text Solution

    |

  17. Find the number of coins, 1.5 cm in diameter and 0.2 cm thick, to b...

    Text Solution

    |

  18. A hemisphere of lead of radius 8cm is cast into a right circular co...

    Text Solution

    |

  19. A rectangular water tank of base 11 m xx 6m contains water upto a...

    Text Solution

    |

  20. How many cubic cm of iron is required to construct open box whose ext...

    Text Solution

    |