Home
Class 9
MATHS
A hemisphere of lead of radius 8cm is ...

A hemisphere of lead of radius 8cm is cast into a right circular cone of base radius 6cm. Determine the height of the cone, correct to two places of decimal. ​

Text Solution

Verified by Experts


Radius of hemisphere`=8cm`
Radius of right circular cone `=6cm`
According to question, Volume of the hemisphere = Volume of cone
`=>2/3pixxr^3=1/3 pixxr^2xxh`
`=>2/3xxpixx8xx8xx8=1/3xxpixx6xx6xxh`
`1024/36=h`
`h=28.44cm`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA|Exercise All Questions|128 Videos

  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

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 hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. Find the radius of the base of the cone.

A hemisphere of lead of radius 9 cm is cast into a right circular cone of height 72 cm. Find the radius of the base of the cone.

A hemisphere of lead of radius 7cm is cast into a right circular cone of height 49cm. Find the radius of the base.

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 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 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 ?

A hemispherical of lead of diameter 14 cm is cast into a right circular cone of height 14 cm. The radius of the base of the cone is :

RD SHARMA-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
  1. A hemisphereical bowl of internal diameter 36cm contains a liquid. Thi...

    Text Solution

    |

  2. The largest sphere is carved out of a cube of a side 7cm. Find the v...

    Text Solution

    |

  3. A hemisphere of lead of radius 8cm is cast into a right circular con...

    Text Solution

    |

  4. A spherical cannonball 28 cm in diameter is melted and cast into a rig...

    Text Solution

    |

  5. A cylindrical container of radius 6 cm and height 15 cm is filled wi...

    Text Solution

    |

  6. A solid wooden toy is in the shape of a right circular cone mounted ...

    Text Solution

    |

  7. Twenty seven solid iron spheres, each of radius r and surface area S...

    Text Solution

    |

  8. Find the volume of a sphere whose radius is: 2cm          (ii)  3.5c...

    Text Solution

    |

  9. Find the volume of a sphere whose diameter is: 14cm        (ii)  3...

    Text Solution

    |

  10. A hemispherical tank has inner radius of 2.8m. Find its capacity in ...

    Text Solution

    |

  11. A hemispherical bowl is made of steel, 0.25 cm thick. The inner radi...

    Text Solution

    |

  12. How many bullets can be made out of a cube of lead whose edge measur...

    Text Solution

    |

  13. A shopkeeper has one laddoo of radius 5cm. With the same material,...

    Text Solution

    |

  14. A spherical ball of lead 3cm in diameter is melted and recast into t...

    Text Solution

    |

  15. A sphere of radius 5cm is immersed in water filled in a cylinder, th...

    Text Solution

    |

  16. If the radius of a sphere is doubled, what is the ratio of the volum...

    Text Solution

    |

  17. A cone and a hemisphere have equal bases and equal volumes. The ratio ...

    Text Solution

    |

  18. A vessel in the form of a hemisphereical bowl is full of water. The ...

    Text Solution

    |

  19. A cylinder whose height is two thirds of its diameter, has the same ...

    Text Solution

    |

  20. A vessel in the form of a hemisphereical bowl is full of water. The ...

    Text Solution

    |