Home
Class 10
MATHS
A cone and a sphere have equal radii ...

A cone and a sphere have equal radii and equal volumes. Find the ratio of the diameter of the sphere to the height of the cone.

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

A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.

A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is

A cylinder and a cone are of the same base radius and of same height. Find the ratio of the volume of the cylinder to that of the cone.

A cone and a hemisphere have the same base and the same height. Find the ratio between their volumes.

A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes.

A cone and a cylinder are having the same base. Find the ratio of their heights if their volumes are equal.

The ratio of the radii of two spheres is 1 : 3. Find the ratio of their volume.

The lateral surface of a cylinder is equal to the curved surface of a come. If the radius be the same, find the ratio of the height of the cylinder and slant height of the cone.

The lateral surface of a cylinder is equal to the curved surface of a come. If the radius be the same, find the ratio of the height of the cylinder and slant height of the cone.

The height of a cone is equal to the radius of its base. The radius of a sphere is equal to the radius of the base of the cone. The ratio of the volume of the cone to the volume of the sphere is

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. The radii of the bases of a cylinder and a cone are in the ratio of...

    Text Solution

    |

  2. The heights of two right circular cones are in the ratio 1 : 2 and ...

    Text Solution

    |

  3. A cone and a sphere have equal radii and equal volumes. Find the ra...

    Text Solution

    |

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

    Text Solution

    |

  5. The radii of two cylinders are in the ratio 2:3 and their heights are ...

    Text Solution

    |

  6. Two cubes have their volumes in the ratio 1 : 27. Find the ratio of...

    Text Solution

    |

  7. Two circular cylinders of equal volumes have their heights in the r...

    Text Solution

    |

  8. If the volumes of two cones are in the ratio 1:4 and their diameter...

    Text Solution

    |

  9. A sphere and a cube have the same surface. Show that the ratio of the ...

    Text Solution

    |

  10. Determine the ratio of the volume of a cube to that of a sphere which ...

    Text Solution

    |

  11. In what ratio are the volumes of a cylinder, a cone and a sphere, i...

    Text Solution

    |

  12. A sphere of maximum volume is cut out from a solid hemisphere of ra...

    Text Solution

    |

  13. A right circular cone and a right circular cylinder have equal base...

    Text Solution

    |

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

    Text Solution

    |

  15. The radii of two cones are in the ratio 2 : 1, their volumes are eq...

    Text Solution

    |

  16. Two cones have their heights in the ratio 1:3 and the radii of thei...

    Text Solution

    |

  17. A hemisphere and a cone have equal bases. If their heights are also...

    Text Solution

    |

  18. If r1 and r2 denote the radii of the circular bases of the frustum ...

    Text Solution

    |

  19. If the slant height of the frustum of a cone is 6 cm and the perime...

    Text Solution

    |

  20. If the areas of circular bases of a frustum of a cone are 4\ c m^2 ...

    Text Solution

    |