Home
Class 10
MATHS
A cylindrical vessel of radius 4 cm c...

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by: `2/9c m` (b) `4/9c m` (c) `9/4c m` (d) `9/2c m`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos
  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

Similar Questions

Explore conceptually related problems

In a cylindrical vessel of diameter 24 cm, filled up with sufficient quantity of water, a solid spherical ball of radius 6 cm is completely immersed. Find the increase in height of water level.

A cylindrical tub of radius 16cm contains water to a depth of 30cm. A spherical iron ball is dropped into the tub and thus level of water is raised by 9cm. What is the radius of the ball?

A sphere of radius 5cm is immersed in water filled in a cylinder, the level of water rises 5/3c mdot Find the radius of the cylinder.

In a cylindrical vessel of radius 10 cm, containing some water, 9000 small spherical balls are dropped which are completely immersed in water which raises the water level. If wach spherical ball is radius 0.5 cm , then find the rise in the level of water in the vessel.

If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball is 50pi\ c m^2 (b) 60pi\ c m^2 (c) 75pi\ c m^2 (d) 100pi\ c m^2

A conical vessel of radius 6 cm and height 8 cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides it is just immersed. What fraction of water overflows ?

A conical vessel of radius 6 cm and height 8 cm is completely filled with water. a sphere is lowered into the water and its size is such that when it touches the the sides, it just immersed. what fraction of water overflows.

A conical vessel of radius 6cm and height 8cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed . What fraction of water over flows?

There is some water in a cylindrical vessel of diameter 12 cm. A solid metallic spere of redius 4 cm is dropped in to it . Find the increase in height of the water surface if sphere is fully immersed in to the water.

A cube of 9cm edge is immersed completely in a rectangular vessel containing water. If the dimensions of the base are 15 c ma n d12 c mdot Find the rise in water level in the vessel.

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. The surface area of a sphere is same as the curved surface area of ...

    Text Solution

    |

  2. The volume of the greatest sphere that can be cut off from a cylindr...

    Text Solution

    |

  3. A cylindrical vessel of radius 4 cm contains water. A solid sphere ...

    Text Solution

    |

  4. 12 spheres of the same size are made from melting a solid cylinder o...

    Text Solution

    |

  5. A solid metallic spherical ball of diameter 6 cm is melted and reca...

    Text Solution

    |

  6. A hollow sphere of internal and external diameters 4 cm and 8 cm re...

    Text Solution

    |

  7. A solid piece of iron of dimensions 49xx33xx24 cm is moulded int...

    Text Solution

    |

  8. The ratio of lateral surface area to the total surface area of a cyl...

    Text Solution

    |

  9. A solid consists of a circular cylinder with an exact fitting right...

    Text Solution

    |

  10. Find the maximum volume of a cone that can be carved out of a solid ...

    Text Solution

    |

  11. The radii of the bases of two cylinders are in the ratio 3 : 5 and ...

    Text Solution

    |

  12. A right circular cylinder of radius r and height h\ (h gt 2r) just ...

    Text Solution

    |

  13. The radii of the circular ends of a frustum are 6 cm and 14 cm. If i...

    Text Solution

    |

  14. The height and radius of the cone of which the frustum is a part are...

    Text Solution

    |

  15. The diameters of the ends of a frustum of a cone are 32 cm and 20 cm...

    Text Solution

    |

  16. A solid frustum is of height 8 cm. If the radii of its lower and upp...

    Text Solution

    |

  17. The radii of the ends of a bucket 16 cm high are 20 cm and 8 cm. Th...

    Text Solution

    |

  18. The diameters of the top and the bottom portions of a bucket are 42 cm...

    Text Solution

    |

  19. If four times the sum of the areas of two circular faces of a cylin...

    Text Solution

    |

  20. If the radius of the base of a right circular cylinder is halved, k...

    Text Solution

    |