Home
Class 10
MATHS
A vessel is a hollow cylinder fitted w...

A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is `(14)/3` m and the diameter of hemisphere is 3.5 m. Calculate the volume and the internal surface area of the solid.

Text Solution

Verified by Experts

The correct Answer is:
`56.15 m ^(3) and 70.58 m ^(2)`
Promotional Banner

Topper's Solved these Questions

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (G)|23 Videos

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (E)|12 Videos

  • CONSTRUCTIONS (CIRCLES)

    ICSE|Exercise EXERCISE|39 Videos

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(E)|68 Videos

Similar Questions

Explore conceptually related problems

A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3-5 m. Calculate : the total area of the internal surface, excluding the base,

A solid is in the form of a cylinder with hemispherical ends. Total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the volume and total surface area of the solid.

A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the volume and total surface area of the solid (Use pi=22//7 )

A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3-5 m. Calculate : the internal volume of the container in m?.

Find the height of the cylinder whose volume is 154m^3 and diameter of the base is 140 cm ?

The volume of a solid cylinder is 96228 cm^(3) and the ratio of its radius to its height is 9:14. Find the total surface area of the cylinder.

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends as shown in Fig. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

A vessel in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

ICSE-CYLINDER, CONE AND SPHERE -EXERCISE 20 (F)
  1. From a right circular cylinder with height 10cm and radius of base ...

    Text Solution

    |

  2. From a solid cylinder whose height is 16 cm and radius is 12 cm, a con...

    Text Solution

    |

  3. A circus tent is cylindrical to a height of 4 m and conical above it. ...

    Text Solution

    |

  4. A circus tent is cylindrical to a height of 8 m surmounted by a conica...

    Text Solution

    |

  5. A circus tent is cylindrical to a height of 8 m surmounted by a conica...

    Text Solution

    |

  6. A cylindrical boiler, 2 m high, is 3.5 m in diameter. It has a hemisph...

    Text Solution

    |

  7. A vessel is a hollow cylinder fitted with a hemispherical bottom of ...

    Text Solution

    |

  8. A wooden toy is in the shape of a cone mounted on a cylinder as shown ...

    Text Solution

    |

  9. A cylindrical container with diameter of base 42 cm contains sufficien...

    Text Solution

    |

  10. Spherical marbles of diameter 1-4 cm are dropped into a beaker contain...

    Text Solution

    |

  11. The cross-section of a railway tunnel is a rectangle 6 m broad and 8 m...

    Text Solution

    |

  12. The horizontal cross-section of a water tank is in the shape of a rect...

    Text Solution

    |

  13. The given figure shows the cross-section of a water channel consisting...

    Text Solution

    |

  14. An open cylindrical vessel of internal diameter 7 cm and height 8 cm s...

    Text Solution

    |

  15. A cylindrical can, whose base is horizontal and of radius 3-5 cm, cont...

    Text Solution

    |

  16. A cylindrical can, whose base is horizontal and of radius 3-5 cm, cont...

    Text Solution

    |

  17. A hollow cylinder has solid hemisphere inward at one end and on the ot...

    Text Solution

    |