Home
Class 14
MATHS
If a sphere is placed inside a right cir...

If a sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder . If the radius of the sphere is R, the volume of the cylinder is :

A

`2pi R^(3)`

B

`4pi R^(3)`

C

`8 pi R^(3)`

D

`(8)/(3) pi R^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE VI|47 Videos

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE VII|60 Videos

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE - IV|169 Videos

  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos

  • MISCELLANEOUS

    KIRAN PUBLICATION|Exercise TYPE-VI|15 Videos

Similar Questions

Explore conceptually related problems

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r , then the volume of the cylinder is 4pi\ r^3 (b) 8/3pi\ r^3 (c) 2pi\ r^3 (d) 8pi\ r^3

Base and axis of Right Circular Cylinder

As shown in the adjacent figure, a sphere is placed in a cylinder. It touches the top, bottom and the curved surface of the cylinder. If radius of the base of the cylinder is 'r', (i) what is ratio of the radii of the sphere and the cylinder? (ii)what is the ratio of the curved surface area of the cylinder and the surface area of the sphere? (iii) what is the ratio of the volumes of the cylinder and the sphere?

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottoms. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid right circular cone of height 120cm and radius 60cm is placed in a right circular cylinder full of water of height 180cm such that it touches the bottom Find the volume of water left in the cylinder if the radius of the cylinder is equal to the radius to the cone.

A right circular cylinder circumscribes a sphere of radius r.Find the ratio of the surface area of the sphere to the curved surface area of the cylinder.

The volumes of a sphere and a right circular cylinder having the same radius are equal. The ratio of the diameter of the sphere to the height of the cylinder is

The volumes of a sphere and a right circular cylinder havIng the same radius are equal , The ratio of the diameter of the sphere to the height of the cylinder is

KIRAN PUBLICATION-MENSURATION-TYPE - V
  1. Two right circular cylinders of equal volume have their heights in the...

    Text Solution

    |

  2. A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled al...

    Text Solution

    |

  3. If a sphere is placed inside a right circular cylinder so as to touch ...

    Text Solution

    |

  4. The base of a right pyramid is an equilateral triangle of side 4 cm ea...

    Text Solution

    |

  5. If the radius of the base of a cone be 7 cm and its curved surface are...

    Text Solution

    |

  6. A hemisphere of iron is melted and recast in the shape of a right circ...

    Text Solution

    |

  7. An iron sphere of radius 27 cm is melted to form a wire of length 729 ...

    Text Solution

    |

  8. A right circular cylinder is circumscribed about a hemisphere so that ...

    Text Solution

    |

  9. The ratio of volumes of two cubes is 8 : 125. The ratio of their surfa...

    Text Solution

    |

  10. A spherical ball of radius 1 cm is dropped into a conical vessel of ra...

    Text Solution

    |

  11. Assume that a drop of water is spherical and its diameter is one-tenth...

    Text Solution

    |

  12. If the height of a cylinder is 4 times its curcumference, the volume o...

    Text Solution

    |

  13. Base of a right pyramid is a square whose area is 324 sq metre. If the...

    Text Solution

    |

  14. If the surface areas of two spheres are in the ratio 9:16, the ratio o...

    Text Solution

    |

  15. The volume of a right circular cone is equal to the volume of a right ...

    Text Solution

    |

  16. A right circular cone and a right circular cylinder have the same base...

    Text Solution

    |

  17. A cone, a cylinder and a hemisphere stand on equal bases and have equa...

    Text Solution

    |

  18. The diameters of the internal and external surfaces of a hollow spher...

    Text Solution

    |

  19. The volume of the metal of a cylindrical pipe is 748 cm^(3). The lengt...

    Text Solution

    |

  20. A cylindrical vessel of diameter 24 cm contains some water. If two sp...

    Text Solution

    |