Home
Class 9
MATHS
A sphere is placed inside a right cir...

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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA ENGLISH|Exercise All Questions|129 Videos
  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA ENGLISH|Exercise All Questions|70 Videos

Similar Questions

Explore conceptually related problems

The height h of cylinder equals the circumference of the cylinder. In terms of h , what is the volume of the cylinder? (a) (h^3)/(4pi) (b) (h^2)/(2pi)\ (c) (h^3)/2 (d) pih^3

A cylinder whose base radius is 3 is inscribed in a sphere of radius 5. what is the difference between the volume of the sphere annd the volume of the cylinder?

A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is (a) 3:5 (b) 2:5 (c) 3:1 (d) 1:3

The height of a right circular cylinder of maxium volume inscribed in a sphere of radius 3 cm is

The largest sphere is cut off from a cube of side 6cm. The volume of the sphere will be 27 pi\ c m^3 (b) 36pi\ c m^3 (c) 108pi\ c m^3 (d) 12pi\ c m^3

If the volume of the cylinder shown above is 1,000 pi^3 , then the value of r , the radius of the base , is

If r is the radius and h is height of the cylinder the volume will be (a) 1/3pi^2h (b) pir^2h (c) 2pir\ (h+r) (d) 2pir h

A cylinder has a surface area of 360pi and height of 3. What is the diameter of the cylinder's circular base?

Find the volume of the larges cylinder that can be inscribed in a sphere of radius r

If the lateral surface of a cylinder is 94. 2\ c m^2 and its heights is 5cm, find: [U s e\ pi=3. 14] radius of its base (ii) volume of the cylinder

RD SHARMA ENGLISH-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
  1. How many spherical bullets can be made out of a solid cube of lead who...

    Text Solution

    |

  2. If a sphere of radius 2r has the same volume as that of a cone w...

    Text Solution

    |

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

    Text Solution

    |

  4. The surface area of a sphere of radius 5 cm is five times the curved s...

    Text Solution

    |

  5. In a sphere is inscribed in a cube, find the ratio of the volume of...

    Text Solution

    |

  6. In a sphere the number of faces is 1         (b)  2      (c)  3 ...

    Text Solution

    |

  7. The total surface area of a hemisphere of radius r is pir^2 (b) 2p...

    Text Solution

    |

  8. The ratio of the total surface area of a sphere and a hemisphere of ...

    Text Solution

    |

  9. A sphere and a cube are of the same height. The ratio of their volu...

    Text Solution

    |

  10. The largest sphere is cut off from a cube of side 6cm. The volume o...

    Text Solution

    |

  11. A cylindrical rod whose height is 8 times of its radius is melted and ...

    Text Solution

    |

  12. If the ratio of volumes of two spheres is 1:8, then the ratio of th...

    Text Solution

    |

  13. If the surface area of a sphere is 144pi\ m^2, then its volume (...

    Text Solution

    |

  14. If a solid sphere of radius 10 cm is moulded into 8 spherical solid...

    Text Solution

    |

  15. The ratio between the volume of a sphere and volume of a circumscri...

    Text Solution

    |

  16. The ratio of the volume of a cube to that of sphere so that the sphe...

    Text Solution

    |

  17. A solid sphere of radius r is melted and cast into the shape of a ...

    Text Solution

    |

  18. A sphere is placed inside a right circular cylinder so as to touch ...

    Text Solution

    |

  19. A cone and a hemisphere have equal bases and equal volumes the rati...

    Text Solution

    |

  20. A cone, a hemisphere and a cylinder stand on equal bases and have t...

    Text Solution

    |