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?
एक खोखले शंकु के आधार की त्रिज्या 8 सेमी. तथा उसको ऊँचाई 15 सेमी. है। सबसे बड़ी त्रिज्या वाला एक गोला उस शंकू में डाला जाता है। शंकु के आधार की त्रिज्या का गोले की त्रिज्या से क्या अनुपात है ?

A

`5:3`

B

`4:1`

C

`2:1`

D

`7:3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    KIRAN PUBLICATION|Exercise Test Yourself|28 Videos

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE VI|47 Videos

  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos

  • MISCELLANEOUS

    KIRAN PUBLICATION|Exercise TYPE-VI|15 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 volume of a right circular cone is equal to that of a sphere, whose radius is half the radius of the base of the cone. What is the ratio of the radius of the base to the height of the cone ? एक लम्ब वृत्तीय शंकु का आयतन उस गोले के आयतन के बराबर है, जिसकी त्रिज्या शंकु के आधार की त्रिज्या से आधी है | शंकु के आधार की त्रिज्या और शंकु की ऊंचाई में क्या अनुपात है ?

The radius of base of solid cone is 9cm and its height is 21cm. It cuts into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7cm and 14 cm from the base respectively.What is the ratio of curved surface areas of top, middle and bottom parts respectively? एक ठोस शंकु के आधार की त्रिज्या 9 से.मी. है। तथा उसको ऊँचाई 21 से.मी. है। इसे दो कटाव, जो आधार के समांतर है से 3 भागों में काटा गया। कटाव आधार से क्रमशः 7 से.मी. तथा 14 से.मी. की ऊँचाई पर है। क्रमशः ऊपरी, मध्य तथा निचले भागों के बक्र पृष्ठीय क्षेत्रफल का अनुपात क्या हे?

A cone is 8.4 cm heigh and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

The diameter of the base of a right circular cone is 10 cm and its height is 12 cm. What is the total surface area (in cm^2 ) of the cone? एक लम्ब वृत्तीय शंकु के आधार का व्यास 10 सेमी है तथा इसकी ऊंचाई 12 सेमी है | इस शंकु का कुल पृष्ठ क्षेत्रफल ( वर्ग सेमी में ) कितना है ?

If the height of a cone is half the radius of a sphere then the radius of the base of the cone, which has the same volume as a sphere of radius 7 cm 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 cone id 8.4 cm height and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is .

KIRAN PUBLICATION-MENSURATION-TYPE VII
  1. Two circles with centre A and B and radius 2 units touch each other ex...

    Text Solution

    |

  2. Two cubes of sides 6 cm each are kept side by side to form a rectangul...

    Text Solution

    |

  3. The diameter of a copper sphere is 18 cm. The sphere is melted and is ...

    Text Solution

    |

  4. A river 3m deep and 40 m wide is flowing at the rate of 2 km per hour....

    Text Solution

    |

  5. Water is flowing at the rate of 3km/hr through a circular pipe of 20 c...

    Text Solution

    |

  6. The rain water from a roof 22 m xx 20 m drains into a cylindrical vess...

    Text Solution

    |

  7. 2 cm of rain has fallen on a square km of land. Assuming that 50% of t...

    Text Solution

    |

  8. A parallelopiped whose sides are in ratio 2:4:8 have the same volume a...

    Text Solution

    |

  9. If two adjacent sides of a rectangular parallelopiped are 1 cm and 2 c...

    Text Solution

    |

  10. What part of a ditch, 48 metres long, 16.5 metres broad and 4 metres d...

    Text Solution

    |

  11. The perimeters of a circle, a square and an equilateral triangle are s...

    Text Solution

    |

  12. The base of a right prism is a quadrilateral ABCD. Given that AB = 9 c...

    Text Solution

    |

  13. An elephant of length 4 m is at one corner of a rectangular cage of si...

    Text Solution

    |

  14. A horse takes 2(1)/(2) seconds to complete a round around a circular f...

    Text Solution

    |

  15. The diameter of the front wheel of an engine is 2x cm and what of rear...

    Text Solution

    |

  16. The radius of a wheel is 3.5 cm. What is the distance (in cm.) travell...

    Text Solution

    |

  17. The radius of a wheel is 21 cm. What is the distance (in cm) travelled...

    Text Solution

    |

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

    Text Solution

    |

  19. What is the length of the longest rod that can be placed in a room whi...

    Text Solution

    |

  20. A chord of length 24 cm is drawn in a circular of diameter 40 cm. Anot...

    Text Solution

    |