Home
Class 14
MATHS
The radius of a sphere is equal to the b...

The radius of a sphere is equal to the base radius and height of a right circular cylinder. What is the ratio between the surface area of the sphere and curved surface area of the cylinder ?
किसी गोले की त्रिज्या, एक लंबवत बेलन (सिलिंडर) के आधार की त्रिज्या तथा ऊंचाई के बराबर है | गोले की पृष्ठभूमि क्षेत्रफल (सरफेस एरिया) तथा बेलन (सिलिंडर) के वक्र पृष्ठ के क्षेत्रफल का अनुपात कितना है ?

A

`2:1`

B

`1 :2`

C

`1 :1`

D

`2:3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MEAN, MEDIAN & MODE

    PINNACLE|Exercise EXERCISE|39 Videos

  • MIXTURE & ALLIGATION

    PINNACLE|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

A right circular cylinder circumscribes a sphere of radius r.Find the ratio of the surface area of the sphere to the curved surface area of the cylinder.

The radius of a right circular cylinder is 7 cm. Its height is double of its radius. What is the curved surface area of the cylinder ? (pi=22/7) किसी लंब वृत्तीय बेलन (सिलिंडर ) की त्रिज्या 7 cm है | उसकी ऊंचाई उसकी त्रिज्या की दोगुनी है | बेलन (सिलिंडर) का वक्र पृष्ठ क्षेत्रफल कितना है?

The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 6 cm each. What is the radius (in cm) of the sphere?

The volumes of a sphere and a right circular cylinder is equal. The radii of the sphere and the cylinder are 21 cm and 14 cm respectively. The height of the cylinder is : किसी गोले और किसी लम्ब वृतीय बेलन (सिलिंडर) का आयतन सामान है | गोला और बेलन की त्रिज्या क्रमसः 21 cmऔर 14 cm है | बेलन की ऊंचाई कितनी है?

The radii of two cylinders A and B are in the ratio 5:6 and the heights are in the ratio 7:4 respectively. The ratio of curved surface area of cylinder B to that of A is: दो बेलन A और B की त्रिज्याएँ 5 : 6 के अनुपात में हैं तथा ऊंचाई 7 : 4 के अनुपात में है | बेलन B तथा बेलन A के वक्र पृष्ठ क्षेत्रफल में अनुपात ज्ञात करें |

The radius of the base of a right circular cylinder is 3 cm and its curved surface area is 60 pi cm^2 . The volume of the cylinder (in cm^3 ) is : एक लम्ब वृत्तीय बेलन के आधार की त्रिज्या 3 सेमी है तथा इसका वक्र पृष्ठ क्षेत्रफल 60 pi वर्ग सेमी है | इस बेलन का आयतन होगा:

If the radius of a right circular cylinder open at both the ends, is decreased by 25% and the height of the cylinder is increased by 25%. Then the curved surface area of the cylinder thus formed यदि किसी लंब वृत्तीय बेलन, जो किनारों पर खुला है, की त्रिज्या 25% कम कर दी जाए ओर उसको ऊँचाई 25% बढ़ा दी जाए तो इस प्रकार बने बेलन का वक्र पृष्ठ क्षेत्रफल कैसा होगा?

A solid metallic sphere of radius 15cm melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original and the sum of the surface area of the balls? 15 सेमी त्रिज्या का एक ठौस धात्विक क्षेत्र को पिघला कर त्रिज्या 3 सेमी के प्रत्येक गोलाकार गेंद बनाई जाती है । मूल सतह के क्षेत्रफल और गेंदों के सतह क्षेत्र के योग का अनुपात क्या है?

The height of a right circular cone is 24 cm and the radius of its base is 7 cm. What is the cost of painting the curved surface area of the cone at the rate of Rs. 6 per cm^2 ? (pi= 22/7) एक लम्ब वृत्तीय शंकु की ऊंचाई 24 सेमी है तथा इसके आधार की त्रिज्या 7 सेमी है | 6 रुपये प्रति वर्ग सेमी की दर से शंकु के वक्र पृष्ठ क्षेत्रफल को रंगने की लागत कितनी आएगी ?

The height of a right circular cone is 5 cm and its base radius is 12 cm. What is the curved surface area of the cone? एक लम्ब वृत्तीय शंकु की ऊंचाई 5 सेमी है तथा इसके आधार की त्रिज्या 12 सेमी है | इस शंकु का वक्र पृष्ठ क्षेत्रफल ज्ञात करें |

PINNACLE-MENSURATION-EXERCISE
  1. The length, breadth and height of a cuboid are 5 cm, 2 cm and 4 cm res...

    Text Solution

    |

  2. 70 sticks each of unit length are combined to form a right angle trian...

    Text Solution

    |

  3. The radius of a sphere is equal to the base radius and height of a rig...

    Text Solution

    |

  4. The length of a cuboid is double of its breadth and its height is half...

    Text Solution

    |

  5. The diameter of a solid hemisphere is 35 cm. What is its total surface...

    Text Solution

    |

  6. The side of an equilateral triangle is 4 cm. What is its area ? एक स...

    Text Solution

    |

  7. A ribbon of equal width and length l is wrapped around the curved surf...

    Text Solution

    |

  8. The volume of a right circular cone is 1232 cm^3 and its height is 24 ...

    Text Solution

    |

  9. What is the ratio between the inradius and the circumradius of a squar...

    Text Solution

    |

  10. The curved surface area of a cylinder is 25344 cm^2 and its height is ...

    Text Solution

    |

  11. The diagonal of a square is 24 cm. Find its perimeter. एक वर्ग का वि...

    Text Solution

    |

  12. What is the total surface area and the curved surface area of a solid ...

    Text Solution

    |

  13. The radius of a right circular cylinder is 7 cm. Its height is double ...

    Text Solution

    |

  14. The side of a hexagon is 4 cm. The side of a square is 4 sqrt2 cm. Fin...

    Text Solution

    |

  15. The radii of a right circular cone and a right circular cylinder are i...

    Text Solution

    |

  16. The area of rhombus is 300 cm^2. If the length of one of the diagonals...

    Text Solution

    |

  17. If the height of an equilateral triangle is 20 sqrt2 cm, then what is ...

    Text Solution

    |

  18. What is the area of a triangle whose sides are 7cm, 24cm and 25 cm? ...

    Text Solution

    |

  19. What is the area of the largest square which can be inscribed in a cir...

    Text Solution

    |

  20. The height of a right circular cone is 24 cm and the radius of its bas...

    Text Solution

    |