Home
Class 14
MATHS
A right circular solid cone of radius 3....

A right circular solid cone of radius 3.2 cm and height 7.2 cm is melted and recast into a right circular cylinder of height 9.6 cm. What is the diameter of the base of the cylinder ?
3.2 सेमी त्रिज्या और 7.2 सेमी ऊंचाई वाले एक लम्ब वृत्तीय ठोस शंकु को पिघलाया जाता है तथा 9.6 सेमी ऊँचाई वाला एक लम्ब वृत्तीय बेलन बनाया जाता है | बेलन के आधार का व्यास कितना है ?

A

3.2 cm

B

3.5 cm

C

4.2 cm

D

4.5 cm

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A metallic cylinder of radius 8 cm and height 2 cm is melted and converted into a right circular cone of height 6 cm . The radius of the base of this cone is

A solid metallic sphere of radius 6.3 cm is melted and recast into a right circular cone of height 25.2 cm. What is the ratio of the diameter of the base to the height of the cone ?

A right circular cone is 3.6 cm high and radius of its base is 1.6 cm. It is melted and recast into a right circular cone with radius of its base as 1.2 cm. Find its height.

A right circular cone is 3.6cm high and radius of its base is 1.6cm .It is melted and recast into a right circular cone with radius of its base as 1.2cm. Find its height.

Twelve solid hemispheres of the same size are melted and recast in a right circular cylinder of diameter 7 cm and height 28 cm. What is the radius of the hemispheres?

The number of coins, each of radius 0.75 cm and thickness 0.2 cm, to be melted to make a right circular cylinder of height 8 cm and radius 3 cm, is 0.75 सेमी त्रिज्या तथा 0.2 सेमी मोटाई वाले सिक्कों, जिन्हें पिघलाकर 3 सेमी त्रिज्या तथा 8 सेमी ऊँचाई वाला एक लम्बवृत्तीय बेलन बनाया जाता है, तो सिक्के की संख्या होगी?

A cylinder with base radius 8 cm and height 2 cm is melted to form a cone of height 6 cm. The radius of the cone will be:- 8 सेमी आधार त्रिज्या और 2 सेमी ऊँचाई वाले सिलेडर को 6 सेमी ऊंचा शंकु बनाने के लिए गलाया जाता है। शंकु की त्रिज्या क्या होगी?

A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is

The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cylinder of height 10 2/3 cm. Find the diameter of the base of the cylinder.

A hemisphere of radius 30 cm is moulded to form a cylinder of height 180 cm. The diameter of the cylinder is: 30 सेमी त्रिज्या वाले एक अर्धगोले को पिघलाकर 180 सेमी ऊंचाई वाला एक बेलन बनाया जाता है | इस बेलन का व्यास है:

PINNACLE-2018 Main Exam 2nd Shift-EXERCISE
  1. The base of a right pyramid is an equilateral triangle with side 8 cm,...

    Text Solution

    |

  2. A spends 65% of his income. His income is increased by 20.1% and his e...

    Text Solution

    |

  3. A right circular solid cone of radius 3.2 cm and height 7.2 cm is melt...

    Text Solution

    |

  4. A cylindrical vessel of radius 3.5 m is full of water. If 15400 litres...

    Text Solution

    |

  5. Places A and B are 396 km apart. Train X leaves from A for B and train...

    Text Solution

    |

  6. If 8x^3-27y^3=(Ax+By)(Cx^2-Dy^2+ 6xy), then (A + B + C- D) is equal to...

    Text Solution

    |

  7. If x=(164)^169+ (333)^337- (727)^726, then what is the unit digit of x...

    Text Solution

    |

  8. If x+1/(16x)=3, then the value of 16x^3+1/ (256x^3) is:

    Text Solution

    |

  9. Let x be the least number which when divided by 15,18,20 and 27, the r...

    Text Solution

    |

  10. If x = (sqrt(5) - sqrt(3))/(sqrt(5) + sqrt(3)) and y is the reciprocal...

    Text Solution

    |

  11. When a two-digit number is multiplied by the sum of its digits, the pr...

    Text Solution

    |

  12. The given bar graph shows the imports and exports of steel by a countr...

    Text Solution

    |

  13. A hemispherical bowl of internal diameter 36 cm is full of a liquid. T...

    Text Solution

    |

  14. The perimeters of two similar triangles ABC and PQR are 78 cm and 46.8...

    Text Solution

    |

  15. A can do 40% of a work in 12 days, whereas B can do 60% of the same wo...

    Text Solution

    |

  16. The given pie chart shows the quantity wise sales distribution of five...

    Text Solution

    |

  17. The angle of elevation of the top of two vertialtowers as seen from th...

    Text Solution

    |

  18. If the curved surface area of a solid cylinder is one-third of its tot...

    Text Solution

    |

  19. A man sells his goods at a certain price, 20% of which is his profit. ...

    Text Solution

    |

  20. Alloy A contains copper and Zinc in the ratio of 4:3 and alloy B conta...

    Text Solution

    |