Home
Class 10
MATHS
A right triangle, whose sides are 3 cm a...

A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

Text Solution

Verified by Experts

In right angle △ABC using Pythagoras theorem
`AC=\sqrt(AB^2+BC^2) =4^2+3^2=25=5cm`
Area`(△ABC)=1/2 ×AB×AC`
`\Rightarrow 1/2×AC×OB=1/2×4×3`\Rightarrow1/2×5×OB=6`
...
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA|Exercise All Questions|230 Videos
  • TRIANGLES

    RD SHARMA|Exercise All Questions|361 Videos

Similar Questions

Explore conceptually related problems

A right triangle,whose sides are 3cm and 4cm (other than hypotenuse) is made to revolve about its hypotenuse.Find the volume and surface area of the double cone so formed.

A Right triangle whose sides are 15cm and 20cm; is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

items that follow : A right triangle having hypotenuse 25 cm and legs in the ratio 3:4 is made to revolve about its hypotenuse. (pi =3.14) What is the surface area of the double cone so formed?

A right triangle having hypotenuse 5 cm and legs in the ratio 3:4 is made to revolve about its hypotenuse. What is the volume of the double cone so formed? (pi =3.14)

items that follow : A right triangle having hypotenuse 25 cm and legs in the ratio 3:4 is made to revolve about its hypotenuse. (pi =3.14) Consider the following statements : The volume of the cone generated when the triangle is made to revolve about its longer leg is same as the volume of the cone generated when the triangle is made to revolve about its shorter leg. 2. The sum of the volume of the cone generated when the triangle is made to revolve about its longer leg and the volume of the cone generated when the triangle is made to revolve about its shorter leg is equal to the volume of the double cone generated when the triangle is made to revolve about its hypotenuse. Which of the above statements is/are correct?

A right angled triangle whose sides are 3 cm, 4 cm and 5 cm is revolved about the sides containing the right angle in two ways. Find the difference in volumes of the two cones so formed. Also, find their curved surfaces.

RD SHARMA-SURFACE AREAS AND VOLUMES-All Questions
  1. A tent is in the shape of a cylinder surmounted by a conical top. I...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. A vessel in the shape of a cuboid contains some water. If three ind...

    Text Solution

    |

  10. Prove that the surface area of a sphere is equal to the curved surface...

    Text Solution

    |

  11. Find the volume of the largest right circular cone that can be cut out...

    Text Solution

    |

  12. A right circular cylinder having diameter 12cm and height 15cm is full...

    Text Solution

    |

  13. A circus tent is cylindrical upto a height of 3m and conical above it....

    Text Solution

    |

  14. Water is flowing at the rate of 2.52 km/h through a cylindrical pipe ...

    Text Solution

    |

  15. The solid is composed of a cylinder with hemispherical ends. If the wh...

    Text Solution

    |

  16. A solid is in the form of a right circular cone mounted on a hemisp...

    Text Solution

    |

  17. Three cubes each of side 5 cm are joined end to end. Find the surfa...

    Text Solution

    |

  18. Two cubes each of volume 64\ c m^3 are joined end to end. Find t...

    Text Solution

    |

  19. A metallic sphere of radius 4.2 cm is melted and recast into the sh...

    Text Solution

    |

  20. Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively, are me...

    Text Solution

    |