Home
Class 10
MATHS
The volume of the greatest sphere tha...

The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is `4/3pi` (b) `(10)/3pi` (c) `5pi` (d) `(20)/3pi`

A

4/3 `pi cm^(3)`

B

10/3 `pi cm^(3)`

C

5`pi cm^(3)`

D

20/3 `pi cm^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MATCH THE FOLLOWING)|3 Videos
  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (ASSERTION AND REASON TYPE)|5 Videos
  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 13.5)|7 Videos
  • STATISTICS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|12 Videos
  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Olympiad /HOTS Corner|15 Videos

Similar Questions

Explore conceptually related problems

The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1cm and height 5cm is (4)/(3)pi(b)(10)/(3)pi (c) 5 pi(d)(20)/(3)pi

Find the total surface area of the cylinder, if the radius of its base is 5 cm and height is 40 cm. ( pi = 3.14)

The radius of a right circular cylinder increases at the rate of 0.1cm/min ,and the height decreases at the rate of 0.2cm/min . The rate of change of the volume of the cylinder,in cm^(2)/min ,when the radius is 2cm and the height is 3cm is -2p(b)-(8 pi)/(5)-(3 pi)/(5) (d) (2 pi)/(5)

Find the volume of a sphere of diameter 6 cm. ( pi = 3.14)

if volume of a cylinder is 30 pi cm^(2) and area of base is 6 pi cm^(2) then find height

Find the volume of a sphere of radius 3.5cm(pi=3.14)

The area of the base of a right circular cylinder is 42pi cm^(2) and height is 3.5 cm. Find its volume.

The volume of the greatest cylinder which can be inscribed in a cone of height 30cm and semi-vertical angle 30^(0) is (a) 4000(pi)/(sqrt(3)) (b) 400(pi)/(3)cm^(3)4000(pi)/(sqrt(3)cm^(3))(d) none of these

The radius of the base of a cone is 4cm and the height is 3cm. Its CSA is ( pi = ( 22)/( 7)) :

The largest sphere is cut off from a cube of side 6cm. The volume of the sphere will be 27 pi\ c m^3 (b) 36pi\ c m^3 (c) 108pi\ c m^3 (d) 12pi\ c m^3

MTG IIT JEE FOUNDATION-SURFACE AREAS AND VOLUMES-EXERCISE (MULTIPLE CHOICE QUESTIONS)
  1. A cylindrical vessel 16 cm high and 9 cm as the radius of the base, is...

    Text Solution

    |

  2. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about th...

    Text Solution

    |

  3. The volume of the greatest sphere that can be cut off from a cylind...

    Text Solution

    |

  4. 12 spheres of the same size are made from melting a solid cylinder ...

    Text Solution

    |

  5. A rectangular sheet of paper 44 cm x 18 cm is rolled along its length ...

    Text Solution

    |

  6. The radius and slant height of a cone are in the ratio of 4:7. If i...

    Text Solution

    |

  7. A toy is in the form of a cone mounted on a hemisphere of radius 7 cm....

    Text Solution

    |

  8. A bucket is in the form of a frustum of a cone and holds 28.490 litres...

    Text Solution

    |

  9. A cone, a hemisphere and a cylinder stand on equal bases and have the ...

    Text Solution

    |

  10. Two metallic right circular cones having their heights 4.1 cm and 4...

    Text Solution

    |

  11. A cylindrical container whose diameter is 12 cm and height is 15 cm, i...

    Text Solution

    |

  12. A cube whose edge is 20 cm long, has circles on each of its faces pain...

    Text Solution

    |

  13. In a swimming pool measuring 90 m by 40 m, 150 men take a dip. If the ...

    Text Solution

    |

  14. If the areas of the adjacent faces of a rectangular block are in th...

    Text Solution

    |

  15. Metallic spheres of radii 7 cm, 9 cm and 11 cm respectively are melted...

    Text Solution

    |

  16. The number of spherical bullets that can be made out of a solid cube o...

    Text Solution

    |

  17. The height of a conical tent is 14 m and its floor area is 346.5 m^2 ....

    Text Solution

    |

  18. A solid metallic sphere of diameter 21 cm is melted and recast into a ...

    Text Solution

    |

  19. The diameter of a sphere is 6 cm. It is melted and drawn into a wire o...

    Text Solution

    |

  20. If a cone is cut into two parts by a horizontal plane passing through ...

    Text Solution

    |