Home
Class 10
MATHS
A cylinder and a cone are of equal base ...

A cylinder and a cone are of equal base radii and heights.If the ratio of the areas of their curved surfaces is 8:5,show that the ratio of the radius and the height of each of the two is 3:4.

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUMES

    R G PUBLICATION|Exercise EXERCISE|69 Videos

  • STATISTICS

    R G PUBLICATION|Exercise EXERCISE|39 Videos

  • TRIANGLES

    R G PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

A cylinder and a cone are of the same base radius and of some height.Find the ratio of the volume of the cylinder to that of the cone.

The ratio of areas of two circle is 4:1 , then the ratio of their radius is

A cylinder,a cone and a hemisphere are of equal base and have the same height.What is the ratio of their volumes?

The ratio of the volumes of two sphere is 27: 8 . What is the ratio of their surface areas?

The ratio of the radius and the slant height of a cone is 4:7 and the area of its curved surface is 792cm^2 .Find the radius of the cone.

The ratio of the total surface area to the lateral surface area of cylinder with base radius 80cm and height 20cm is __

Find the height and volume of cylinder whose area of the curved surface is 4,400 cm^2 and perimeter of the base is 110 cm.

The radius of two circles are in the ratio 3 : 4 and sum of their areas is equal to the area of a circle whose radius is 35 cm. Find the radius of these two circles.

The radii of the bases of a cylinder and a cone are in the ratio 3:4 and their heights are in the ratio 2:3.What is the ratio of their volumes?

The radius of two circles are in the ratio 3 : 4 and sum of their areas is equal to the area of a circle whose radius is 35 cm. Find the ratio of the areas.

R G PUBLICATION-SURFACE AREA AND VOLUMES-EXERCISE
  1. A cylinder and a cone are of equal base radii and heights.If the ratio...

    Text Solution

    |

  2. 2 cubes each of volume 64cm^3 are joined end to end.Find the surface a...

    Text Solution

    |

  3. A vessel is in the form of a hollow hemisphere mounted by a hollow cyl...

    Text Solution

    |

  4. A toy is in the form of a cone of radius 3.5 cm mounted on a hemispher...

    Text Solution

    |

  5. A cubical block of side 7 cm is surmounted by a hemisphere.What is the...

    Text Solution

    |

  6. A hemispherical depression is cut out from one face of a cubical woode...

    Text Solution

    |

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

    Text Solution

    |

  8. A tent is in the shape of a cylinder surmounted by a conical top.If th...

    Text Solution

    |

  9. From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm a con...

    Text Solution

    |

  10. A wooden article was made by scooping out a hemisphere from each end o...

    Text Solution

    |

  11. A solid is in the shape of a cone standing on a hemisphere with both t...

    Text Solution

    |

  12. Rachel,an engineering student,was asked to make a model shaped like a ...

    Text Solution

    |

  13. A gulab jamun contains sugar syrup up to about 30% of volume,Find appr...

    Text Solution

    |

  14. A pen stand made of wood is in the shape of a cuboid with four concial...

    Text Solution

    |

  15. A vessel is in the form of an inverted cone.Its height is 8 cm and the...

    Text Solution

    |

  16. A solid iron pole consists of a cylinder of height 220cm and base diam...

    Text Solution

    |

  17. A solid consisting of a right circular cone of height 120cm and radius...

    Text Solution

    |

  18. A spherical glass vessel has a cylindrical neck 8 cm long,2 cm in diam...

    Text Solution

    |

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

    Text Solution

    |

  20. Metallic sphere of radii 6 cm,8 cm and 10 cm respectively are melted t...

    Text Solution

    |

  21. A 20m deep well with diameter 7m is dug and the earth from digging is ...

    Text Solution

    |