Home
Class 10
MATHS
A solid is in the shape of a cone sur...

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` )

Text Solution

Verified by Experts

The correct Answer is:
`166.83 cm^(2)`
Height of the conical part = (9.5 - 3.5 ) cm = 6 cm.
Volume of the solid = volume of the cone + volume of the the hemisphere.
Promotional Banner

Topper's Solved these Questions

  • VOLUME AND SURFACE AREAS OF SOLIDS

    RS AGGARWAL|Exercise EXERCISE 17 A|4 Videos

  • VOLUME AND SURFACE AREAS OF SOLIDS

    RS AGGARWAL|Exercise Exercise 17B|35 Videos

  • VOLUME AND SURFACE AREAS OF SOLIDS

    RS AGGARWAL|Exercise VOLUME AND SURFACE AREA OF A COMBINATION OF SOLIDS (SOLVED EXAMPLES )|2 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    RS AGGARWAL|Exercise Exercise 12|15 Videos

Similar Questions

Explore conceptually related problems

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy (nearly).

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of pi .

A solid is in the shape of a cone standing on a a hemisphere with both their radii being equal to 1cm and the height of the cone is equal to its radius.Find the volume of the solid in terms of pi

A solid is in the form of a cone standing on a hemisphere with both their radii being equal to 8 cm and the height of cone is equal to its radius . Find the volume of solid.

A cylindrical tub if radius 5cm and length 9.8cm is full of water.A splid in the form of a right circular cone mounted on a hemisphere is immersed into the tub.If the radius of the hemisphere is 3.5cm and the total height of the solid ids 8.5cm ,find the volume of water left in the tub

A toy is in the form of a cone surmounted by a hemisphere whose radius is 3.5 cm . If the total height of the toy is 15.5 cm then find its total surface area and the Volume

A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 20 cm and the diameter of the cylinder is 7 cm. Find the total volume of the solid. (Use F = 22/7 )

A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the volume and total surface area of the solid (Use pi=22//7 )

Assertion (A) : A solid is in the form of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. The volume of the solid is pi cm^3 . Reason (R) : Volume of cone = (1)/(3) pi r^(2)h and volume of hemi-sphere = (2)/(3) pi r^(3)

RS AGGARWAL-VOLUME AND SURFACE AREAS OF SOLIDS-Exercise 17A
  1. A military ten of height 8.25m is in the form of a right circular c...

    Text Solution

    |

  2. A tent is in the shape of a right circular cylinder up to a height of ...

    Text Solution

    |

  3. A circus tent is cylindrical to a height of 3 metres and conical above...

    Text Solution

    |

  4. A rocket is in from of a circular cylinder closed at the lower end and...

    Text Solution

    |

  5. A solid is in the shape of a cone surmounted on a hemi-sphere, the ...

    Text Solution

    |

  6. A toy is in the form of a cone of radius 3.5 cm mounted on a hemisp...

    Text Solution

    |

  7. A toy is in the shape of a cone mounted on a hemisphere of same base r...

    Text Solution

    |

  8. A cylindrical container of radius 6 cm and height 15 cm is filled with...

    Text Solution

    |

  9. A vessel is in the form of a hemispherical bowl surmounted by a hollow...

    Text Solution

    |

  10. A toy is in the form of a cylinder with hemispherical ends. If the who...

    Text Solution

    |

  11. A medicine capsule is in the shape of a cylinder with two hemispheres ...

    Text Solution

    |

  12. A solid is in the form of a right circular cone mounted on a hemispher...

    Text Solution

    |

  13. From a solid cylinder whose height is 8 cm and radius 6cm , a conical ...

    Text Solution

    |

  14. From a solid cylinder of height 14 cm and base diameter 7 cm, two equa...

    Text Solution

    |

  15. A metallic cylinder has radius 3 cm and height 5 cm, To reduce its wei...

    Text Solution

    |

  16. From a solid cylinder of height 14cm and base diameter 7cm,two equal c...

    Text Solution

    |

  17. A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in ...

    Text Solution

    |

  18. From a cubical piece of wood of side 21 cm, a hemisphere is carved out...

    Text Solution

    |

  19. (i) A hemisphere of maximum possible diameter is placed over a cuboida...

    Text Solution

    |

  20. A toy is in the shape of a right circular cylinder with a hemispher...

    Text Solution

    |