Home
Class 10
MATHS
A hemispherical and a conical hole is sc...

A hemispherical and a conical hole is scooped out of a solid wooden cylinder. Find the volume of the remaining solid where the measurements are as follows :
The height of the solid cylinder is 7 cm, radius of each of hemisphere, come and cylinder is 3 cm. height of cone is 3 cm.
Give your answer correct to the nearest whole number.
(Take `pi=22/(7)`)

Text Solution

Verified by Experts

The correct Answer is:
`113.14~~113 cm^(3)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A hemispherical and a conical hole are scooped out of a solid wooden cylinder. Find the volume of the remaining solid where the measurements are as as given alongside : The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm. Give your answer correct to the nearest whole number. Take pi=(22)/(7) .

A solid consisting of a right circular cone, standing on a hemisphere, is placed upright, in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm, the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer correct to the nearest centimetre ( Take pi = 3 (1)/(7))

The circumference of the base of a cylinder vessel is 132 cm and height is 25 cm. Find the (i) radius of the cylinder (ii) volume of cylinder. (use pi=22/(7) )

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).

From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 is hollwed out. Find the volume of the remaining solid.

A metallic solid sphere of radius 9 cm is melted to form a solid cylinder of radius 9 cm. Find the height of the cylinder.

A vessel is in the form of hemispherical bowl mounted by a hollow cylinder. If the height of cylinder is 6cm and radius is 7 cm .Find the total height of the vessel.

A solid is in the shape of a cone surmounted on a hemi-sphere, the radius of each of them is being 3.5 cm and the total height of solid is 9.5 cm. Find the volume of the solid. (Use pi=22//7 )

The diamter of a closed cylinder is 7 cm and its heght is 16 cm. Find: the volume of the cylinder .[Take pi =22/(7)]

The sum of the height and the radius of a solid cylinder is 35 cm and its total surface area is 3080 cm^(2), find the volume of the cylinder.

ICSE-MATHEMATICS-2019-SECTION-B
  1. In the given figure, anglePQR=anglePST=90^(@), PQ = 5cm and PS = 2 cm....

    Text Solution

    |

  2. The first and last term of a geometrical Pregression (G.P.) are 3 and ...

    Text Solution

    |

  3. A hemispherical and a conical hole is scooped out of a solid wooden cy...

    Text Solution

    |

  4. In the given figure AC is a tangent to the circle with centre O. If ...

    Text Solution

    |

  5. The model of a building is constructed with the scale factor 1:30. (...

    Text Solution

    |

  6. The model of a building is constructed with the scale factor 1 : 30. ...

    Text Solution

    |

  7. Given [(4,2),(-1,1)]M = 6 I, where M is a matrix and I is the unit mat...

    Text Solution

    |

  8. Given [(4,2),(-1,1)]M = 6 I, where M is a matrix and I is the unit mat...

    Text Solution

    |

  9. The sum of the first three terms of an Arithmeic Progression (A.P.) is...

    Text Solution

    |

  10. The vertices of a DeltaABC are A (3, 8), B (-1, 2) and C (6, -6). Find...

    Text Solution

    |

  11. The vertices of a DeltaABC are A(3, 8), B(-1, 2) and C(6, 6). Find : ...

    Text Solution

    |

  12. Show that the SHM is projection of uniform circular motion on the diam...

    Text Solution

    |

  13. The data on the number of patient attending a hospital in a month are ...

    Text Solution

    |

  14. Using properties of proportion solve for x, given (sqrt(5x)+sqrt(2x-...

    Text Solution

    |

  15. Sachin invests Rs. 8,500 in 10%, Rs. 100 shares at Rs. 170. He sells ...

    Text Solution

    |

  16. Sachin invests Rs. 8,500 in 10%, Rs. 100 shares at Rs. 170. He sells ...

    Text Solution

    |

  17. Sachin invests Rs. 8,500 in 10%, Rs. 100 shares at Rs. 170. He sells ...

    Text Solution

    |

  18. Use graph paper for this question. The marks obtained by 120 student...

    Text Solution

    |

  19. Use graph paper for this question. The amrks obtained by 120 student...

    Text Solution

    |

  20. Use graph paper for this question. The amrks obtained by 120 student...

    Text Solution

    |