Home
Class 9
MATHS
The area of the base of a right circular...

The area of the base of a right circular cone is `314 c m^2` and its height is 15cm. Find the volume of the cone.

Text Solution

Verified by Experts

area of base`=314cm^2`
`pir^2=314cm^2`
`r^2=(157xx7)/11`
`h=15cm`
so volume of cone`=(1/3)pixx(r^2)h`
`=(1/3)pixx[(157xx7)/11]h`
`=1570cm^3`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER

    RD SHARMA|Exercise All Questions|133 Videos
  • SURFACE AREA AND VOLUME OF A SPHERE

    RD SHARMA|Exercise All Questions|140 Videos

Similar Questions

Explore conceptually related problems

The area of the base of a right circular cone is 314cm^(2) and its height is 15cm. Find the volume of the cone.

The area of the base of a right circular cylinder is 154cm^(2) and its height is 15cm . Find the volume of the cylinder.

The area of the base of a right circular cylinder is 616 c m^2 and its height is 25cm. Find the volume of the cylinder.

The diameter of the base of a right circular cone is 18 cm and its slant height is 15cm. Find the height of the cone.

If the are of the base of a right circular cone is 3850cm^(2) and its height is 84 cm, find the slant height of the cone.

The area of the base of a right circular cone is 154 cm^2 and its height is 14 cm . Its curved surface area is

(i) The area of base of a right circular cone is 60 cm^(2) and its volume is 200 cm^(3) . Find the height of the cone.

The diamtere of a right circular cone in 14 m , while its slant height is 9 m. Find the volume of the cone.

The radius of the base of a solid right circular cone is 8 cm and its height is 15 cm. The total surface area of the cone is:

RD SHARMA-SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE-All Questions
  1. A cylinder and a cone have equal radii of their bases and equal hei...

    Text Solution

    |

  2. Find the volume of a right circular cone 1.02m high, if the radius ...

    Text Solution

    |

  3. The area of the base of a right circular cone is 314 c m^2 and its hei...

    Text Solution

    |

  4. The diameter of a right circular cone is 8cm and its volume is 48\ ...

    Text Solution

    |

  5. The volume of a cone is 18480c m^3dot If the height of the cone is 40c...

    Text Solution

    |

  6. The base radii of two right circular cones of the same height are i...

    Text Solution

    |

  7. A right circular cone is 3.6 cm high and radius of its base is 1.6 ...

    Text Solution

    |

  8. A conical vessel whose internal radius is 5 cm and height 24cm is f...

    Text Solution

    |

  9. A right triangle A B C with its dies 5cm, 12cm and 13cm is revolved ab...

    Text Solution

    |

  10. A cone and a cylinder are having the same base. Find the ratio of t...

    Text Solution

    |

  11. A cone of a radius 5cm is filled with water. If the water poured in...

    Text Solution

    |

  12. A solid cube of side 7cm is melted to make a cone of height 5cm, fi...

    Text Solution

    |

  13. From a right circular cylinder with height 10cm and radius of base ...

    Text Solution

    |

  14. The radius and height of a cone are in the ratio 3:4. If its volume...

    Text Solution

    |

  15. If h , c ,V are respectively the height, the curved surface and the...

    Text Solution

    |

  16. A cone of height 24cm has a curved surface area 550\ c m^2dot Find ...

    Text Solution

    |

  17. A conical tent is to accommodate 11 persons. Each persons must have...

    Text Solution

    |

  18. A semi-circular sheet of metal of diameter 28cm is bent into an ope...

    Text Solution

    |

  19. A conical tent is 9m high and the radius of its base is 12m. (i) What...

    Text Solution

    |

  20. Find the volume of the larges right circular cone that can be cut o...

    Text Solution

    |