Home
Class 12
MATHS
The biggest possible cube is taken out o...

The biggest possible cube is taken out of a right solid cylinder of radius 4 and height 5 respectively. What is the volume of the cube?

A

64

B

125

C

`128sqrt(2)`

D

`256sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise Grib-In|32 Videos
  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise PRACTICE TEST|24 Videos
  • COMPLEX NUMBERS

    ENGLISH SAT|Exercise EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

The largest sphere is to be curved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.

The largest sphere is to be curved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.

A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere. (Answer correct to the nearest integer).

The given figure shows a solid formed of a solid cube of side 40 cm and a solid cylinder of radius 20 cm and height 50 cm attached to the cube as shown. Find the volume and the total surface area of the whole solid [Take pi = 3.14]

The height and radius of the right circular cylinder below are given in meters. What is the volume, in cubic meters, of the cylinder?

If a right circular cylinder of height 10 is inscribed in a sphere of radius 6, what is the volume of the cylinder ?

The height of a solid cylinder is 15 cm and the diameter of its base is 7 cm. Two equal conical holes each of radius 3 cm and height 4 cm are cut off. Find the volume of the remaining solid.

The height of a solid cylinder is 15 cm. and the diameter of its base is 7 cm. Two equal conical holes each of radius 3 cm, and height 4 cm are cut off. Find the volume of the remaining solid.

If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduce cylinder to that of the original.

If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduce cylinder to that of the original.

ENGLISH SAT-ADDITIONAL TOPICS IN MATH-EXERCISE
  1. In DeltaABC , D and E are the mid-points of AB and AC. Again, F and G...

    Text Solution

    |

  2. A car is being driven, in a straight line and at a uniform speed, towa...

    Text Solution

    |

  3. The biggest possible cube is taken out of a right solid cylinder of ra...

    Text Solution

    |

  4. In the figure AB||DE , AC=6, CE=15 and DB=28. What is the length of CD...

    Text Solution

    |

  5. The imaginary number I is defined such that i^(2)=-1. Which of the fol...

    Text Solution

    |

  6. The imaginary number I is such that i^(2)=-1. Which of the following o...

    Text Solution

    |

  7. A right angled triangle ABC of sides AB=6, BC=8 and AC=10 is spun onc...

    Text Solution

    |

  8. If a+ib=sqrt(5+12i) where a>0, b>0, which of the following is a possi...

    Text Solution

    |

  9. Two friends, Amy and Bob, are standing in line with a lamp post. The s...

    Text Solution

    |

  10. In the figure OA=sqrt(80), OB=8, OC=sqrt(20). What is the length of OD...

    Text Solution

    |

  11. In a right-angled triangle ABC, right angled at B, an altitude BD is ...

    Text Solution

    |

  12. If the equation of the circle having the coordinates of the ends of it...

    Text Solution

    |

  13. If a+ib=(5+3i)(6i+1), what is the value of a^(2)+b^(2) ?

    Text Solution

    |

  14. A well, 2m radius and 40m deep, is being dug. The excavated soil is t...

    Text Solution

    |

  15. In the figure shown, ABC is a triangle, right angled at B. Through B, ...

    Text Solution

    |

  16. From a cuboid of dimension 4mxx6mxx8m, largest possible cube is cut ou...

    Text Solution

    |

  17. In the DeltaABC,DE||BC, AD=3, BD=6, and BC=8. What is the ratio of the...

    Text Solution

    |

  18. A vertical tower, OP stands at the center O of a square ABCD. Let h an...

    Text Solution

    |

  19. What is the shortest distance between the circle x^(2)+y^(2)-2x-2y=0 ...

    Text Solution

    |

  20. A balloon leaves the earth and rises at a uniform velocity. At the end...

    Text Solution

    |