Home
Class 8
MATHS
A solid metallic cone of radius 10 cm an...

A solid metallic cone of radius 10 cm and height `2/5m` is melted and recast into a sphere. Find theradius of the sphere.

A

`10sqrt(10)`cm

B

`(10)^(1/3) `cm

C

10 cm

D

8 cm

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application (Level 3 )|8 Videos
  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application (Level 1 )|30 Videos
  • MATRICS

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application Level 2 |15 Videos
  • MOCK TEST PAPER

    PEARSON IIT JEE FOUNDATION|Exercise Questions|5 Videos

Similar Questions

Explore conceptually related problems

A solid metallic cone of radius 10cm and height (2)/(5)m is melted and recast into a sphere. Find theradius of the sphere.

Threee metallic cones of radius 2cm and height 9 cm are melted and recast in to a solid sphere. Find the radius of the sphere.

Threee metallic cones of radius 2cm and height 9cm are melted and recast in to a solid sphere. Fuind the radius of the sphere.

A solid metallic cone of radius 2 cm and height 8 cm is melted into a sphere. Find the radius of sphere.

A metallic cone having base radius 2.1 cm and height 8.4 cm is melted and moulded into a sphere. The radius of the sphere is

If a metallic cone of radius 30 cm and height 45 cm is melted and recast into metallic spheres of radius 5 cm, find the number of spheres.

A cone of metal of height 24 cm and radius of base 6 cm is melted and recast into a sphere. Find the radius of the sphere.

A cone of height 4 cm is melted and recast into a sphere of diameter 8 cm .Find the radius of the base of the cone.

A solid metallic cylinder with a base radius of 3 cm and a height 120 of cm is melted and recast into a sphere of radius r cm. What is the value of r if there is a 10% metal loss in the conversion

A metallic cone of radius 12 cm and height 24 cm is melted and made into spheres of radius 2 cm each. How many spheres ae formed ?

PEARSON IIT JEE FOUNDATION-MENSURATION-Concept Application (Level 2 )
  1. The cost of painting the total outside surface of a closed cylinder at...

    Text Solution

    |

  2. If the base radius of a cone is doubled and its height is halved , the...

    Text Solution

    |

  3. A metallic sphere of radius 12 cm is melted and cast into a cone whose...

    Text Solution

    |

  4. A solid metallic cone of radius 10 cm and height 2/5m is melted and r...

    Text Solution

    |

  5. The width of a ring is 6 cm and the area of the inner circle is 616 cm...

    Text Solution

    |

  6. What is the difference between the total surface area and curved surfa...

    Text Solution

    |

  7. A solid metal sphere is cut through its centre into two equal parts . ...

    Text Solution

    |

  8. The magnitude of surface area of sphere is half the magnitude of the v...

    Text Solution

    |

  9. A toy is in the shape of the cone over a hemisphere of radius 8 cm. If...

    Text Solution

    |

  10. A conical tent is 12 m high and the radius of its base is 9 m . What i...

    Text Solution

    |

  11. A metal cuboid of dimensions 49 m , 22 m , and 14 m is melted and cast...

    Text Solution

    |

  12. Area of a circular park is P m^(2) .A path of width W m is laid aroun...

    Text Solution

    |

  13. Area of rhombus is 96 cm^(2) and one of its diagonals is 12 cm . Find ...

    Text Solution

    |

  14. Area of a trapezium is 1050 cm^(2) . One of its parallel sides is 50 c...

    Text Solution

    |

  15. How many solid lead balls of diameter 4 cm each can be made from a sol...

    Text Solution

    |

  16. If the length of each of a cube increases by 20%, then the volume of t...

    Text Solution

    |

  17. A cuboid has a total surface area of 96 cm^2. TheMsum of the squares ...

    Text Solution

    |

  18. The angle substended by an arc at the centre of a circle is 70^(@) . I...

    Text Solution

    |

  19. At the most , how many cakes of soap dimensions 8 cm xx 6 cm xx 4 cm c...

    Text Solution

    |

  20. If the dimensions of a cuboid decreases by 10% each, then its volume d...

    Text Solution

    |