Home
Class 10
MATHS
By melting a solid iron sphere, 32 conic...

By melting a solid iron sphere, 32 conical paper weights of equal volume is formed. If the height of Each paper weight is 4cm and the diameter of base is 1 cm, find the diameter of the sphere.

Promotional Banner

Topper's Solved these Questions

  • KANACHI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos
  • Partnership Business

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

If the height of a right circular cone be 4.8 cm and its diameter of base 4 cm, then the slant height of the cone will be

The height of a right circular cylinder is 12 cm and the diameter of the base is 7 cm. Find the area of its total surface.

The volumes of a solid hemisphere is 144Pi cu. Cm, then find the diameter of the sphere.

If the diameter of a sphere be 6 cm, then the volume of the sphere will be

A cylindrical container is filled with ice-cream whose diameter is 12 cm and height is 15 cm . The whole ice cream is distributed to 10 children by filling in equal cones and forming hemispherical tops. If the height of the conical portion is twice the diameter of its base. Find the diameter of the ice cream cone.

From a solid iron sphere of diameter 18cm, a right circular cylindrical rod is formed. If the length of the rod is 24 cm, then what will be it diameter?

The curved surface area of a solid sphere is equal to the surface area of a solid right circular cylinder. The lengths of both height and diameter of cylinder are 12 cm . Find the length of radius of the sphere.

The metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, the diameter of the sphere is____

The shape of solid iron rod is cylinderical Its height is 11 cm and base diameter is 7 cm Then find the total volume of 50 such rods.

UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. In a Cuboid, the volume, length and the length of its one diagonal are...

    Text Solution

    |

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

    Text Solution

    |

  3. By melting a solid iron sphere, 32 conical paper weights of equal volu...

    Text Solution

    |

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

    Text Solution

    |

  5. If the half total surface area of the cuboid is equal to the square o...

    Text Solution

    |

  6. If 5 cos theta+ 12 sin theta = 13 show that tan theta = 12/5.

    Text Solution

    |

  7. Solve: 4sqrt3 cos^2 theta-4 sin theta +sqrt3 = 0[0^@lethetale90^@]

    Text Solution

    |

  8. Solve: 2 cos theta+ 2sqrt2 = 3 sec theta

    Text Solution

    |

  9. Solve: 4 cos theta +3 sec theta = 4sqrt3

    Text Solution

    |

  10. Show that -1lecos thetale1.

    Text Solution

    |

  11. If cos theta+sin theta = sqrt2 cos theta, then show cos theta-sin thet...

    Text Solution

    |

  12. If a sinx = b cos x = (2c tan x)/(1-tan^2 x) then show that (a^2-b^2)=...

    Text Solution

    |

  13. If cos^2theta-sin^2 theta = tan^2 alpha, then show that cos^2 alpha -s...

    Text Solution

    |

  14. If a cos theta+b sin theta = c then show that a sin theta- b cos theta...

    Text Solution

    |

  15. If tan Ptheta= P tan theta, then show that (sin^2 P theta)/(sin^2 thet...

    Text Solution

    |

  16. If (a^2-b^2)sin theta+ 2ab cos theta = a^2+b^2 then find the value of ...

    Text Solution

    |

  17. If sec alpha = sec beta sec gamma+ tan beta tan gamma, then show that ...

    Text Solution

    |

  18. if xsin^3theta+ycos^3theta =sin theta cos theta and x sin theta -y cos...

    Text Solution

    |

  19. (1 + sec 20^2 + cot 70^@) (1 - cosec 20^@ + tan 70^@) equals

    Text Solution

    |

  20. If (sec alpha-tan alpha)(sec beta-tan beta)(sec gamma-tan gamma) = (...

    Text Solution

    |