Home
Class 10
MATHS
A sphere of diameter 18 cm is dropped in...

A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm , partly filled with water . If the sphere is completely submerged then the water level rises by

A

3 cm

B

4 cm

C

5 cm

D

6 cm

Text Solution

Verified by Experts

The correct Answer is:
A

Increase in volume of water= volume of the sphere
`rArr pi xx 18 xx 18 xx h =4/3 pi xx 9xx9xx9 rArr h=(4/3 xx (9xx 9xx9)/(18xx 18))cm = 3 cm `
Promotional Banner

Topper's Solved these Questions

  • VOLUME AND SURFACE AREAS OF SOLIDS

    RS AGGARWAL|Exercise MULTIPLE-CHOICE QUESTIONS(MCQ)|14 Videos
  • VOLUME AND SURFACE AREAS OF SOLIDS

    RS AGGARWAL|Exercise Exercise 17D|40 Videos
  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    RS AGGARWAL|Exercise Exercise 12|15 Videos

Similar Questions

Explore conceptually related problems

A sphere of diameter 12cm, is dropped in a right circular cylindrical vessel,partly filled with water.If the sphere is completely submerged in water,the water level in the cylindrical vessel rises by 3(5)/(9)cm. Find the diameter of the cylindrical vessel.

A sphere of radius 6 cm is dropped in a right circular cylindrical vessel, partly filled with water. If the sphere is completely submerged, the water level in the vessel rises by 2 cm. What is the diameter of the vessel ? (in cm.)

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?

A sphere of 30 cm radius is dropped into a cylindrical vessel of 80 cm diameter , which is partly filled with water , then its level rises by x cm . Find x :

A metallic sphere of radius 21 cm is dropped into a cylindrical vessel, which is partly, filled with water. The diameter of the vessel is 1.68 m. If the sphere is completely submerged, find by how much the surface of water will rise.

A sphere of radius 9 cm is dropped into a cylindrical vessel partly filled with water . The radius of the vessel is 12 cm. If the sphere is submerged completely , then the surface of the water rises by :

A sphere of radius 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 8 cm. If the sphere is submerged completely, then the surface of the water rises by (a) 4.5 cm (b) 3 cm (c) 4 cm (d) 2 cm

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.

RS AGGARWAL-VOLUME AND SURFACE AREAS OF SOLIDS-Multiple Choice Questions (Mcq)
  1. If the radius of a sphere becomes 3 times then its volume will become

    Text Solution

    |

  2. If the height of a bucket in the shape of frustum of a cone is 16 cm a...

    Text Solution

    |

  3. A sphere of diameter 18 cm is dropped into a cylindrical vessel of dia...

    Text Solution

    |

  4. A solid right circular cone is cut into two parts at the middle of its...

    Text Solution

    |

  5. The radii of the circular ends of a bucket of height 40 cm are 24 cm a...

    Text Solution

    |

  6. A solid is hemispherical at the bottom and conical (of same radius) ab...

    Text Solution

    |

  7. If the radius of the base of a right circular cylinder is halved, keep...

    Text Solution

    |

  8. A cubical ice-cream brick of edge 22 cm is to be distributed among som...

    Text Solution

    |

  9. A mason constructs a wall of dimensions (270 cm xx 300 cm xx 350 cm ) ...

    Text Solution

    |

  10. Twelve solid spheres of the same size are made by melting a solid me...

    Text Solution

    |

  11. The diameters of two circular ends of a bucket are 44 cm and 24 cm and...

    Text Solution

    |

  12. The slant height of a bucket is 45 cm and the radii of its top and and...

    Text Solution

    |

  13. The volume of two spheres are in the ratio of 64: 27 . The ratio of su...

    Text Solution

    |

  14. A hollow cube of internal edge 22 cm is filled with spherical marbles ...

    Text Solution

    |

  15. A metallic spherical shell of internal and external diameters 4 cm and...

    Text Solution

    |

  16. A medicine -capsule is the shape of a cylinder of diameter 0.5 cm wit...

    Text Solution

    |

  17. The length of the longest pole that can be kept in a room (12 m xx 9 m...

    Text Solution

    |

  18. The length of the diagonal of a cube is 6sqrt3 cm . Its total surface ...

    Text Solution

    |

  19. The volume of a cube is 2744 cm^(3) . Its surface area is

    Text Solution

    |

  20. If the total surface area of a cube is 864 square cm, find the volum...

    Text Solution

    |