Home
Class 10
MATHS
A right triangle with sides 3 cm, 4 c...

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is `12pi\ c m^3` (b) `15pi\ c m^3` (c) `16pi\ c m^3` (d) `20pi\ c m^3`

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 with sides 3 cm, 4 cm and 5 cm is rotated about the side 3 cm to form a cone, the volume of the cone so formed is

A right triangle with sides 9 cm, 12 cm and 15 cm is rotated abot the side of 9 cm to form a cone. The volume of the cone so formed is :

A right triangle with sides 3cm,4cm and 5cm is rotated about the side of 3cm to form a cone.The volume of the cone so formed is 12 pi backslash cm^(3)(b)15 pi backslash cm^(3)(c)16 pi backslash cm^(3)(d)20 pi backslash cm^(3)

The sides of a right triangle are 7cm,24cm and 25cm. If it is revolved about its side 7cm to form a solid cone find the volume of the solid so formed.

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

A triangle with sides 3 cm, 4 cm and 5 cm is rotated with 3 cm and 4 cm sides as the heights one by one to form 2 different cones. The volumes of the cones so formed will be in the ratio of:

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.

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)

In Fig. 15.112, the area of the shaded region is (FIGURE) (a) 3pi\ c m^2 (b) 6pi\ c m^2 (c) 9pi\ c m^2 (d) 7pi\ c m^2

RD SHARMA-SURFACE AREAS AND VOLUMES-All Questions
  1. A cylindrical bucket, 32 cm high and with radius of base 18 cm, is ...

    Text Solution

    |

  2. The curved surface of a right circular cone of height 15 cm and bas...

    Text Solution

    |

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

    Text Solution

    |

  4. The curved surface area of a cylindrical pillar is 264 m2 and its v...

    Text Solution

    |

  5. A cylinder with base radius of 8 cm and height of 2 cm is melted to...

    Text Solution

    |

  6. The volumes of two spheres are in the ratio of 64 : 27. The ratio o...

    Text Solution

    |

  7. If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted ...

    Text Solution

    |

  8. The surface area of a sphere is same as the curved surface area of ...

    Text Solution

    |

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

    Text Solution

    |

  10. A cylindrical vessel of radius 4 cm contains water. A solid sphere ...

    Text Solution

    |

  11. 12 spheres of the same size are made from melting a solid cylinder ...

    Text Solution

    |

  12. A solid metallic spherical ball of diameter 6 cm is melted and reca...

    Text Solution

    |

  13. A hollow sphere of internal and external diameters 4 cm and 8 cm re...

    Text Solution

    |

  14. A solid piece of iron of dimensions 49xx33xx24 cm is moulded int...

    Text Solution

    |

  15. The ratio of lateral surface area to the total surface area of a cy...

    Text Solution

    |

  16. A solid consists of a circular cylinder with an exact fitting right...

    Text Solution

    |

  17. Find the maximum volume of a cone that can be carved out of a solid ...

    Text Solution

    |

  18. The radii of the bases of two cylinders are in the ratio 3 : 5 and ...

    Text Solution

    |

  19. A right circular cylinder of radius r and height h\ (h gt 2r) just ...

    Text Solution

    |

  20. The radii of the circular ends of a frustum are 6 cm and 14 cm. If ...

    Text Solution

    |