Home
Class 14
MATHS
Two solid right cones of equal heights a...

Two solid right cones of equal heights are of radii `r_1` and `r_2` are melted and made to form a solid sphere of radius R. Then the height of the cone is:

A

`(4R^2)/(r_1^2+r_2^2)`

B

`(4R)/(r_1+r_2)`

C

`(4R^3)/(r_1^2+r_2^2)`

D

`(R^2)/(r_1^2+r_2^2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LCM & HCF

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise MULTIPLE CHOICE QUESTIONS |140 Videos

  • MEN & WOMEN

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS|32 Videos

Similar Questions

Explore conceptually related problems

Two solid right cones of equal height and radii r_(1) and r_(2) are melted and made to form a solid sphere of radius R. Then the height of the cone is

Two right circular cones of equal height of radii of base 3 cm and 4 cm are melted together and made to a solid sphere of radius 5 cm. The height of a cone is

The radii of the bases of two right circular solid cones of same height are r_1 and r_2 respectively. The cones are melted and recast into a solid sphere of radius R . Show that the height of each cone is given by h=(4R^3)/(r1 2+r2 2)

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

Three solid spheres have their radii r_(1),r_(2) and r_(3) .The spheres are melted to form a solid sphere of bigger radius of the new sphere is:

Some solid metallic right circular cones, each with radius of the base 3 cm and height 4 cm are melted to form a solid sphere of radius 6 cm. The number of right circular cones is

Some solid metallic right circular cones,each with radius of the base 3cm and height 4cm, are melted to form a solid sphere of radius 6cm. The number of right circular cones is (a) 6quad (b) 12 (c) 24 (d) 48

If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r , then find the height of the cone.

A sphere of radius r has the same volume as that of a cone with a circular base of radius r. Find the height of the cone.

A solid metallic hemisphere of radius 8 cm is melted and recasted into a right circular cone of base radius 6 cm. Determine the height of the cone.

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-MAINS MOCK TEST -QUESTION
  1. A fruit vendor purchased 80 dozens of bananas at Rs. 10 per dozen. Out...

    Text Solution

    |

  2. The height of a right circular cone and the radius of its circular bas...

    Text Solution

    |

  3. Two solid right cones of equal heights are of radii r1 and r2 are me...

    Text Solution

    |

  4. The ratio of milk and water in a mixture is 7 : 5. We withdraw 9 lt mi...

    Text Solution

    |

  5. The ratio of milk and water in a mixture is 5 : 3. How much fraction o...

    Text Solution

    |

  6. A vessel contains a mixture of O(2 )and N(2). The quantity of O(2) is ...

    Text Solution

    |

  7. Two vessels A and B contains acid of different concentration. The capa...

    Text Solution

    |

  8. If x^(3) +3/(x)= 4(a^3 + b^3) and 3x+ 1/(x^3) = 4(a^3 - b^3) , then...

    Text Solution

    |

  9. If a = (sqrt3 + sqrt2) ^(-3) and b = ( sqrt3 - sqrt2)^(-3), then the v...

    Text Solution

    |

  10. If x=(a+sqrt(a^2+b^3))^(1//3)+(a-sqrt(a^2+b^3))^(1//3) then what x^3...

    Text Solution

    |

  11. If (x+1)(x+2)+1/(x(x-1))=0 then find x^2+x

    Text Solution

    |

  12. If 10s in^4alpha+15cos^4alpha=6 , find the value of 27cos e c^6alpha+8...

    Text Solution

    |

  13. If sec theta=a+1/(4a) find 1/(costheta)+tan theta

    Text Solution

    |

  14. If cosx=(2cosy-1)/(2-cosy) then tan""(x)/2.cot""(y)/2 = ?

    Text Solution

    |

  15. Find sin12^@ sin48^@ sin54^@

    Text Solution

    |

  16. If (tanA)/(1-cotA)+(cotA)/(1-tanA)=K+tanA+cotA, then K = ?

    Text Solution

    |

  17. If cosec θ – sin θ = l and sec θ – cos θ = m, then l2 m2 (l2 + m2 + 3...

    Text Solution

    |

  18. If tanq-cotq=a and cos q+sinq =b , then (b^2-1)^(2)(a^2+4)=?

    Text Solution

    |

  19. In an election between two candidates. 10% of voters did not cast thei...

    Text Solution

    |

  20. In a DeltaABC , AB = 5, AC = 6cm, BC = 8 cm. Find the lengh of median ...

    Text Solution

    |