Home
Class 14
MATHS
If the radius of a sphere is increased b...

If the radius of a sphere is increased by 4 cm, its surface area is increased by `464 pi cm^2`. What is the volume (in `cm^3`) of the original sphere ?
यदि किसी गोले की त्रिज्या 4 सेमी से बढ़ा दी जाए, तो इसका पृष्ठ क्षेत्रफल `464 pi` वर्ग सेमी से बढ़ जाता है | आरंभिक गोले का आयतन ( घन सेमी में ) क्या था ?

A

`15625/6 pi `

B

`15625/8 pi `

C

`35937/8 pi `

D

`11979/2 pi `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the radius of a sphere is increased by 2m, its surface area is increased by 704 m^2 . What is the radius of the original sphere? use:( pi =22/7) यदि किसी गोले के अर्द्धव्यास को 2 मीटर बढ़ा दिया जाये तो पृष्ठीय क्षेत्रफल 704 मीटर^2 बढ़ जाता है। आररोभक गोले का अर्द्ध व्यास कितना है?

If the radius of a sphere is increased by 2.5 decimeter (dm),then its surface area increases by 110 dm^2 . What is the volume(in dm^2 ) of the sphere?(take pi = 22/7 ) यदि एक गोले का त्रिज्या 2.5 डेसीमीटर (dm) बढ़ जाता है, तो इसका सतह क्षेत्र से 10%? बढ़ जाता है। गोले का आयतन ( dm^2 में) क्या है?

The radius and the height of a right circular cone are in the ratio 5:12. Its curved surface area is 816.4 cm^2 . What is the volume (in cm^3 ) of the cone? (Take pi = 3.14 ) एक लंबवृत्तीय शंकु की त्रिज्या और ऊंचाई का अनुपात 5 : 12 है। इसका वक्रपृश्ठ क्षेत्र 816.4 वर्ग समी है। शंकु का आयतन ( सेमी^3 में) कितना है? ( pi = 3.14 माने)

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 diameter of the base of a cone is 42 cm and its curved surface area is 2310 cm^2 , then what will be its volume (in cm^3 )? यदि किसी शंकु के आधार का व्यास 42 सेमी है और इसका वकक्र पृष्ठ क्षेत्रफल 2310 वर्ग सेमी है, तो इसका आयतन ( घन सेमी में ) क्या होगा ?

The radius of a sphere is increased by 140%. By what percent is the volume increased? एक गोले की त्रिज्या 140% बढ़ा दी जाती है। आयतन कितने प्रतिशत बढ़ेगा ?

The radius of the base of a cylinder is 7 cm and its curved surface area is 440 square cm. Its volume (In cubic cm) will be:(Take pi = 22/7 ) एक बेलन के आधार की त्रिज्या 7 सेमी है और इसका वक्र पृष्ठीय क्षेत्रफल 440 वर्ग सेमी है। इसका आयतन कितना होगा?

If each side of a rectangle is increased by 13%, then its area will increase by : यदि किसी आयत की प्रत्येक भुजा को 13% से बढ़ा दिया जाए, तो इसका क्षेत्रफल कितना बढ़ जाएगा ?

If the volume of a sphere is 4851 cm^3 , then its surface area (in cm^2 )is : (Take pi=22/7 ) यदि एक गोले का आयतन 4851 घन सेमी है, तो इसका पृष्ठ क्षेत्रफल ( वर्ग सेमी में ) होगा :

The volume of a sphere is 36 pi cm^3 . What is the radius of the sphere? एक गोले का आयतन 36 pi घन सेमी है | इस गोले की त्रिज्या ज्ञात करें |

PINNACLE-2018 Main Exam 2nd Shift-EXERCISE
  1. The given pie chart shows the breakup of total number of the employees...

    Text Solution

    |

  2. If (sqrt2+ sqrt5-sqrt3)xxk=-12 , then what will be the value of k ? ...

    Text Solution

    |

  3. If the radius of a sphere is increased by 4 cm, its surface area is in...

    Text Solution

    |

  4. An article is sold at a certain price. If it is sold at 33 1/3 % of th...

    Text Solution

    |

  5. What will be the compound interest on a sum of Rs 31,250 for 2 years a...

    Text Solution

    |

  6. Radha marks her goods 25% above the cost price. She sells 35% of goods...

    Text Solution

    |

  7. From the top of a tower, the angles of depression of two objects on th...

    Text Solution

    |

  8. Abhi rows upstream a distance of 28 km in 4 hours and rows downstream ...

    Text Solution

    |

  9. Raghav spends 80% of his income. If his income increases by 12% and th...

    Text Solution

    |

  10. A sum of Rs. 5,000 is divided into two parts such that the simple inte...

    Text Solution

    |

  11. The volume of a right pyramid is 45 sqrt 3 cm^3 and its base is an equ...

    Text Solution

    |

  12. The ratios of copper to Zinc in alloys A and B are 3:4 and 5:9 respect...

    Text Solution

    |

  13. The internal and external radii of a hollow hemispherical vessel are 6...

    Text Solution

    |

  14. The bar graph shows the exports of Cars of Type A and B (in ₹ millions...

    Text Solution

    |

  15. The given pie chart shows the breakup of total number of the employees...

    Text Solution

    |

  16. The base of right prism is a trapezium whose parallel sides are 11cm a...

    Text Solution

    |

  17. ((1+cos theta)^2+ sin^2 theta)/((cosec^2 theta-1) sin^2 theta) =

    Text Solution

    |

  18. If a nine-digit number 389x6378y is divisible by 72, then the value of...

    Text Solution

    |

  19. One of the factors of (8^(2k)+5^(2k)), where k is an odd number, is : ...

    Text Solution

    |

  20. If a cuboid of dimensions 32 cm xx 12 cm xx 9 cm is cut into two cubes...

    Text Solution

    |