Home
Class 14
MATHS
Radius of base of a hollow cone is 8 cm ...

Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sphere of largest radius is put inside the cone. What is the ratio of radius of base of cone to the radius of sphere?

A

`5 : 3`

B

`4:1`

C

`2: 1`

D

`7: 3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • 2017 TIER-II PAPER(13)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
  • 2017 TIER-II PAPER(8)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

The radius of the base of a solid right circular cone is 8 cm and its height is 15 cm. The total surface area of the cone is:

The perpendicular height of a cone is 12 cm and its slant height is 13 cm . Find the radius of the base of the cone .

The radius of the base of a cone is 14cm and its vertical height is 48vm .What is the curved surface area of the cone?

The lateral surface area of a cone is 462 "cm"^(2) . Its slant height is 35 cm. The radius of the base of the cone is

A sphere of radius 6 cm is melted and reacst in to a cone of height 6 cm .Find the radius of the cone.

The radius of a sphere is equal to the radius of the base of a right circular cone, and the volume of the sphere is double the volume of the cone. The ratio of the height of the cone to the radius of its base is

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

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

CHAMPION PUBLICATION-2017 TIER-II PAPER(7)-EXERCISE
  1. In the given figure, AB, AE, EF, FG and GB are semi circles. If AB= 56...

    Text Solution

    |

  2. A right Pyramid has a square base with side of base 4 cm and the heigh...

    Text Solution

    |

  3. Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sph...

    Text Solution

    |

  4. The ratio of curved surface area of a right circular cylinder to the t...

    Text Solution

    |

  5. A solid cylinder has radius of base 14 cm and height 15 cm, 4 identica...

    Text Solution

    |

  6. 10 identical solid spherical balls of radius 3 cm are melted to form a...

    Text Solution

    |

  7. The radius of the base of a solid cylinder is 7 cm and its height is 2...

    Text Solution

    |

  8. A cuboid of size 50 cm x 40 cm x30 cm is cut into 8 identical parts by...

    Text Solution

    |

  9. A right triangular pyramid XYZB is cut from cube as shown in figure. T...

    Text Solution

    |

  10. What is the value of [(sin x + sin y)(sin x - sin y)]//[(cosx + cosy)(...

    Text Solution

    |

  11. What is the value of [(tan5 theta+ tan 3 theta)//4cos4 theta(tan5 thet...

    Text Solution

    |

  12. What is the value of (4//3) cot^2(pi//6) + 3cos^2(150^@) - 4 cosec^2 4...

    Text Solution

    |

  13. What is the value of sin (B - C) cos (A- D) + sin (A-B) cos (C -D) + s...

    Text Solution

    |

  14. What is the value of {(([4 cos (90-A)sin^3(90+A)]-),([4 sin(90+A) cos...

    Text Solution

    |

  15. What is the value of cos[(180-theta)//2] cos[(180-9 theta)//2] + sin[1...

    Text Solution

    |

  16. What is the value of [tan^2 (90- theta)-sec^2 (90 - theta)] tan^2 (90-...

    Text Solution

    |

  17. Two points P and Q are at the distance of x and y (where ygtx) respect...

    Text Solution

    |

  18. The tops to two poles of height 60 metres and 35 metres are connected ...

    Text Solution

    |

  19. A Navy captain going away a lighthouse at the speed of 4[(sqrt3) - 1] ...

    Text Solution

    |

  20. The table given below shows the number of applicants who have applied ...

    Text Solution

    |