Home
Class 9
MATHS
The radius and slant height of a cone ar...

The radius and slant height of a cone are in the ratio of 4:7. If its curved surface area is `792 c m^2,` find its radius. `(U s epi=(22)/7)`

Text Solution

Verified by Experts

"let radius r`=4x`
slant height l`=7x`
curved surface area`=792cm^2`
`pixx4x(7x)=792`
`x=6`
so its radius r`=4xx6=24cm`"
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 radius and slant height of a cone are in the ratio of 4:7. If its curved surface area is 792cm^(2), find the radius.(Use pi=(22)/(7))

The radius of base and slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 cm^(2) , then the radius (in cm) of its base is [Use pi = 22//7 ]

If the radius and slant height of a cone are a r/2 and 2l. Then find its total surface area.

The ratio of the slant height and radius of the cone is 7 : 4. If itscurved surface area is 550 cm^(2) , then find its radius.

The radius and height of a right circular cone are in the ratio 1: (2.4). If its curved surface area is 2502.5 cm^(2) , then what is its volume? (Take pi= ""_(7)^(22) )

The radius and slant height of the cone are 5 cm and 10 cm respectively. Find the curved surface area. (pi=3.14)

The radius and slant height of a cone are 4 cm and 25 cm respectively. Find the curved surface area of that cone. (pi = 3.14)

RD SHARMA-SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE-All Questions
  1. The diameter of a cone is 14cm and its slant height is 9cm. Find the...

    Text Solution

    |

  2. The radius of a cone is 3cm and vertical height is 4cm. Find the are...

    Text Solution

    |

  3. The radius and slant height of a cone are in the ratio of 4:7. If it...

    Text Solution

    |

  4. The circumference of the base of a 10m high conical tent is 44 metre...

    Text Solution

    |

  5. How many metres of cloth 5m wide will be required to make a conical ...

    Text Solution

    |

  6. The lateral surface of a cylinder is equal to the curved surface of ...

    Text Solution

    |

  7. The radius and height of a cone are in the ratio 4:3. The area of th...

    Text Solution

    |

  8. A corn cob (see Fig. 13.17), shaped somewhat like a cone, has the ra...

    Text Solution

    |

  9. A tent is of the shape of a right circular cylinder upt a height of ...

    Text Solution

    |

  10. Monica has a piece of Canvas whose area is 551m^2dot She uses it to ha...

    Text Solution

    |

  11. If the radius of the base of a cone is halved, keeping the height sa...

    Text Solution

    |

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

    Text Solution

    |

  13. A right triangle ABC with its sides 5 cm, 12cm and 13cm is revolved ...

    Text Solution

    |

  14. A conical tent is to accommodate 11 persons. Each persons must have 4 ...

    Text Solution

    |

  15. A semi-circular sheet of metal of diameter 28cm is bent into an open...

    Text Solution

    |

  16. Two cones have their heights in the ratio 1:3 and the radii of their...

    Text Solution

    |

  17. A cylinder is within the cube touching all the vertical faces. A con...

    Text Solution

    |

  18. A conical tent is 10m high and the radius of its base is 24m. Find t...

    Text Solution

    |

  19. Curved surface area of a cone is 308\ c m^2 and its slant height is 14...

    Text Solution

    |

  20. There are two cones. The curved surface area of one is twice that of...

    Text Solution

    |