Home
Class 10
MATHS
A hemispherical depression is cut out fr...

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter ‘l’ of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos
  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

Similar Questions

Explore conceptually related problems

A hemispherical depression is cut-out from one face of the cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

A hemispherical depression is cut out from one face of a cubical wooden block of edge 21 cm, such that the diameter of the hemisphere is equal to the edge of the cube. Determine the volume and total surface area of the remaining block.

A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter of the hemisphere can have? Find the total surface area of the solid.

The largest cone is curved out from one face of solid cube of side 21 cm find the volume of the remaining solid.

The sum of the surface areas of a sphere and a cube is given. Show that when the sum of their volumes is least, the diameter of the sphere is equal to the edge of the cube.

The sum of the surface areas of a sphere and a cube is given. Show that when the sum of their volumes is least, the diameter of the sphere is equal to the edge of the cube.

The sum of the surface areas of a sphere and a cube is given. Show that when the sum of their volumes is least, the diameter of the sphere is equal to the edge of the cube.

A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is (14)/3 m and the diameter of hemisphere is 3.5 m. Calculate the volume and the internal surface area of the solid.

A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.

Volume and surface area of a solid hemisphere are numerically equal what is the diameter of the hemisphere?

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. Draw a triangle ABC with side BC=6CM, AB=5CM and /A B C=60^0 . Then co...

    Text Solution

    |

  2. A tower stands near an airport. The angle of elevation theta of the to...

    Text Solution

    |

  3. A hemispherical depression is cut out from one face of a cubical woode...

    Text Solution

    |

  4. The points A(2,9),B(a ,5),C(5,5) are the vertices of a triangle A B C...

    Text Solution

    |

  5. Prove that the points A(4,3),B(6,4),C(5,-6)a n d D(-3,5) in that order...

    Text Solution

    |

  6. A train travels at a certain average speed for a distance of 63km and ...

    Text Solution

    |

  7. Cards with numbers 2 to 101 are placed in a box. A card is selected at...

    Text Solution

    |

  8. A sum of Rs. 1400 is to be used to give seven cash prizes to students ...

    Text Solution

    |

  9. Find two consecutive odd positive integers, sum of whose squares is ...

    Text Solution

    |

  10. A golf ball has diameter equal to 4.1 cm. Its surface has 150 dimples ...

    Text Solution

    |

  11. A tent of height 77dm is in the form of a right circular cylinder of ...

    Text Solution

    |

  12. A cylindrical tub if radius 5cm and length 9.8cm is full of water .A s...

    Text Solution

    |

  13. A tent is in the shape of a cylinder surmounted by a conical top. I...

    Text Solution

    |

  14. A toy is in the shape of a right circular cylinder with a hemisphere o...

    Text Solution

    |

  15. A right triangle, whose sides are 3 cm and 4 cm (other than hypoten...

    Text Solution

    |

  16. A cone made of paper has height 3h and vertical angle 2alpha. It conta...

    Text Solution

    |

  17. A cylinder vessel of diameter 14cm and height 42cm is fixed symmetr...

    Text Solution

    |

  18. The difference between outside and inside surface areas of cylindrical...

    Text Solution

    |

  19. A solid iron rectangular block of dimensions 4.4 m , 2.6 m and 1 m is ...

    Text Solution

    |

  20. Sushant has a vessel of the form of an inverted cone, open at the top,...

    Text Solution

    |