Home
Class 14
MATHS
A solid metallic sphere of radius r i...

A solid metallic sphere of radius `r` is converted into a solid right circular cylinder of radius `R` . If the height of the cylinder is twice the radius of the sphere, then `R=r` (b) `R=rsqrt(2/3)` (c) `R=sqrt((2r)/3)` (d) `R=(2r)/3`

Promotional Banner

Topper's Solved these Questions

  • TRUE DISCOUNT

    RS AGGARWAL|Exercise All Questions|26 Videos

Similar Questions

Explore conceptually related problems

A sphere of radius r has the same volume as that of a cone with a circular base of radius r. Find the height of the cone.

A right circular cylinder of radius r cm and height h cm ( where , h gt 2r) just encloses a sphere of diameter

If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r , then find the height of the cone.

A solid sphere of radius r is melted and recast into the shape of a solid cone of height r. Find radius of the base of the cone.

The volume of right circular cylinder of base radius r and height 2r is________.

A sphere of radius r is incribed in a right circular cone whose slant heights equals twice the radius of the base a. What is the relation between r and a ?

A solid sphere of radius r is melted and cast into the shape of a solid cone of height r , the radius of the base of the cone is 2r (b) 3r (c) r (d) 4r

Two solid right cones of equal heights are of radii r_1 and r_2 are melted and made to form a solid sphere of radius R. Then the height of the cone is:

RS AGGARWAL-VOLUME AND SURFACE AREAS-All Questions
  1. The surface area of a sphere is same as the curved surface area of ...

    Text Solution

    |

  2. The diameter of the iron ball used for the shot-put game is 14 cm. ...

    Text Solution

    |

  3. A solid metallic sphere of radius r is converted into a solid ri...

    Text Solution

    |

  4. The ratio of the volumes of a right circular cylinder and a sphere ...

    Text Solution

    |

  5. The volume of the greatest sphere that can be cut off from a cylind...

    Text Solution

    |

  6. How many spherical bullets can be made out of a lead cylinder 15 cm...

    Text Solution

    |

  7. A cylindrical rod or iron whose height is eight times its radius is...

    Text Solution

    |

  8. A copper wire of length 36 m and diameter 2 mm is melted to form a ...

    Text Solution

    |

  9. If a sphere of diameter 8 cm is melted and cast into a wire of diamete...

    Text Solution

    |

  10. A cylindrical vessel of radius 4 cm contains water. A solid sphere ...

    Text Solution

    |

  11. The ratio of the surface area of a sphere and the curved surface ar...

    Text Solution

    |

  12. 12 spheres of the same size are made from melting a solid cylinder ...

    Text Solution

    |

  13. A spherical iron ball is dropped into a cylindrical vessel of base ...

    Text Solution

    |

  14. If a hollow sphere of internal and external diameters 4 cm and 8 cm...

    Text Solution

    |

  15. Each of the measures of the radius of the base of a cone and that o...

    Text Solution

    |

  16. A metallic sphere of radius 5 cm is melted to make a cone with base...

    Text Solution

    |

  17. Some solid metallic right circular cones, each with radius of the b...

    Text Solution

    |

  18. A metallic sphere of radius 10.5 cm is melted and recast into small...

    Text Solution

    |

  19. A cone of height 15 cm and base diameter 30 cm is carved out of a w...

    Text Solution

    |

  20. A metallic cone of radius 12 cm and height 24 cm is melted and made...

    Text Solution

    |