Home
Class 14
MATHS
A solid sphere is melted and recast into...

A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of the sphere . What is the ratio of the height and radius of the cone so formed ?

A

4:3

B

2:3

C

3:4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos
  • NUMBER SYSTEM

    QUANTUM CAT|Exercise QUESTION BANK|1091 Videos

Similar Questions

Explore conceptually related problems

A large solid sphere is melted and moulded to form identical right circular cones with base radius and height same as the radius of the sphere. One of these cones is melted and moulded to form a smaller solid sphere. Find the ratio of the surface area of the smaller sphere to the surface are of the larger sphere.

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 metallic sphere of radius 7 cm is melted and recast in to right circular cone of same radius. Find the height of the cone.

A solid metallic hemisphere of radius 8 cm is melted and recasted into a right circular cone of base radius 6 cm. Determine the height of the cone.

A solid metalic hemisphere of radius 8 cm is melted and recast into a right circular cone of base radius 6 cm. Determine the height of the cone.

A copper sphere of radius 3 cm is melted and recast into a right circular cone of height 3 cm. Find the radius of the base of the cone.

A metallic hemisphere is melted and recast in the shape of a cone with the ame base radius (R) as that of the hemisphere. If H is the height of the cone, then :

A solid metallic sphere of radius 6.3 cm is melted and recast into a right circular cone of height 25.2 cm. What is the ratio of the diameter of the base to the height of the cone ?

A sphere of diameter 12.6 cm is melted and cast into a right circular cone of height 25.2 cm. The radius of the base of the cone is

A metallic sphere of diameter 20 cm is recast into a right circular cone of base radius 10 cm. What is the bigger height of the cone ?

QUANTUM CAT-MENSURATION-QUESTION BANK
  1. l1, b1 and l2, b2 are the lenghts and breadths of the two rectangles r...

    Text Solution

    |

  2. An acute angle made by a side of parallelogram with other pair of para...

    Text Solution

    |

  3. A solid sphere is melted and recast into a right circular cone with a ...

    Text Solution

    |

  4. In the given figure there are 3 semicircles , the radii of each smalle...

    Text Solution

    |

  5. A rectangular lawn 60 mxx40 m has two roads each 5 m wide running in t...

    Text Solution

    |

  6. There are two rectangular fields of same area. The length of first rec...

    Text Solution

    |

  7. In the adjoining figure ACB is a quadrant with radius 'a'. A semicir...

    Text Solution

    |

  8. Ravi made an error of 5% in excess while measuring the length of recta...

    Text Solution

    |

  9. In the adjoining figure the cross-section of a swimming pool is shown ...

    Text Solution

    |

  10. Around a circular garden a circular road is to be repair which costs ₹...

    Text Solution

    |

  11. An equilateral triangle is cut from its three vertices to form a regu...

    Text Solution

    |

  12. ABC is an equilateral triangle and PQRS is a square inscribed in the ...

    Text Solution

    |

  13. The area of a square and circle is same and the perimeter of square an...

    Text Solution

    |

  14. Adjoining figure shows a square ABCD in which O is the point of inter...

    Text Solution

    |

  15. What is the ratio of the area of circumcircle of equilateral triangle ...

    Text Solution

    |

  16. It is required to construct a big rectangular hall that can accommoda...

    Text Solution

    |

  17. The perimeter of a rectangle and an equilateral triangle are same. Al...

    Text Solution

    |

  18. If l, b, p be the length, breadth and perimeter of a rectangle and b, ...

    Text Solution

    |

  19. A spherical steel ball was silver polished then it was cut into 4 sim...

    Text Solution

    |

  20. What is the total surface area of the identical cubes of largest possi...

    Text Solution

    |