Home
Class 9
MATHS
A measuring jar of internal diameter 10c...

A measuring jar of internal diameter 10cm is partially filled with water. Four equal spherical balls of diameter 2cm each are dropped in it and they sink down in water completely. What will be the change in the level of water in the jar?

Text Solution

Verified by Experts

`pi r^2 h = 4 xx (4/3)pi r^3`
`⇒ pi xx 5^2 xx h = 4 (4/3 xx pi xx 1^3)`
`⇒ 25 h = 16/3 `
`⇒ h = 16/3 xx 1/25`
`⇒ h = 16/75 cm`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA|Exercise All Questions|128 Videos
  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 30 cm in diameter is gently dropped into the vessel and is completely immersed. To what further height will the water in the cylinder rise ?

A cylindrical jar of radius 10 cm is filled with water upto a height of 15cm. 14 sphercal balls of radius 3 cm each are immersed in the jar. Find the new level to which water is filled in the jar.

A cylindrical bucket with base radius 15 cm is filled with water up to a height of 20 cm. A heavy iron spherical ball of radius 9 cm is dropped into the bucket to submerge completely in the water. Find the increase in the level of water.

A cylindrical jar, whose base has a radius of 15 cm, is filled with water upto a height of 20 cm. A solid iron spherical ball of radius 10 cm is dropped in the jar to submerge completely in water. Find the increase in the level of water (in cm).

Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm , when it is completely immersed in water.

A right circular cylinder is partially filled with water. Two iron spherical balls are completely im- mersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are:

150 spherical marbles, each of diameter 14 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.

150 spherical marbles, each of diameter 1.4 cm are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.

A sphere of diameter 5 cm is dropped into a cylindrical vessel partly filled with water. The diameter of the base of the vessel is 10 cm. If the sphere is completely submerged, by how much will the level of water rise?

RD SHARMA-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
  1. A solid sphere of radius 3cm is melted and then cast into small sph...

    Text Solution

    |

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

    Text Solution

    |

  3. A measuring jar of internal diameter 10cm is partially filled with ...

    Text Solution

    |

  4. A hemisphere of lead of radius 7 cm is cast into a right circular cone...

    Text Solution

    |

  5. The diameter of the moon is approximately one fourth of the diamete...

    Text Solution

    |

  6. A cube of side 4cm contains a sphere touching its side. Find the volum...

    Text Solution

    |

  7. A capsule of medicine is in the shape of a sphere of diameter 3.5mm....

    Text Solution

    |

  8. A cube of side 4 cm contains a sphere touching its side . Find the ga...

    Text Solution

    |

  9. The dome of a building is in the form of a hemisphere. Its radius i...

    Text Solution

    |

  10. Assuming the earth to be a sphere of radius 6370 km, how many squar...

    Text Solution

    |

  11. A storage tank consists of a circular cylinder with a hemisphere ad...

    Text Solution

    |

  12. The diameter of the moon is approximately one fourth of the diamete...

    Text Solution

    |

  13. The front compound wall of a house is decorated by wooden spheres of...

    Text Solution

    |

  14. A hemispherical bowl is made of steel 0.5 cm thick. The inside radi...

    Text Solution

    |

  15. The volume of the two spheres are in the ratio 64:27. Find the diff...

    Text Solution

    |

  16. A cylinder of radius 12cm contains water to a depth of 20cm. A sphe...

    Text Solution

    |

  17. A vessel in the form of a hemisphereical bowl is full of water. The...

    Text Solution

    |

  18. A dome of a building is in the form of a hemisphere. From inside, i...

    Text Solution

    |

  19. Twenty seven solid iron spheres, each of radius r and surface area S a...

    Text Solution

    |

  20. A wooden toy is in the form of a cone surmounted on a hemisphere. T...

    Text Solution

    |