Home
Class 9
MATHS
The difference between outside and insid...

The difference between outside and inside surface of a cylindrical metallic pipe 14cm long is `44 c m^2` . If the pipe is made of 99cu centimetres of metal, find the outer and inner radii of the pipe.

Text Solution

Verified by Experts

given that `pi(R^2-r^2)h=99cm^3`
so,`(R+r)(R-r)=9/4`.....(1)
` 2pih(R-r)=44cm^2`
so,`(R-r)=1/2`.......(2)
from 1and 2 we have (R+r)`=9/2` and (R-r)`=1/2` after solving we get
R`=5/2cm`
r`=2cm`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A CUBOID AND CUBE

    RD SHARMA|Exercise All Questions|168 Videos
  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA|Exercise All Questions|128 Videos

Similar Questions

Explore conceptually related problems

The difference between outside and inside surfaces of a cylindrical metallic pipe 14cm long is 44cm^(2) .If the pipe is made 99cu centimetres of metal,find the outer and inner radii of the pipe.

The difference between the outside and inside surfaces of a cylindrical metallic pipe 14cm^(3) long is 44cm^(2). If the pipe is made of 99cm^(3) of metal,find the outer and inner radii of the pipe.

The difference between outside and inside surface areas of cylindrical metallic pipe 14cm long is 44cm^(2). If the pipe is made of 99cm^(2) of metal,find the outer and inner radii of the pipe

The difference between the outside and the inside surface area of a cylindrical pipe 14 cm long is 44 cm^2 . The pipe is made of 99 cm^3 of metal. If R is the outer radius and r is the inner radius of the pipe, then what is (R + r) equal to?

A cylindrical metallic pipe is 14 cm long. The difference between the outside and inside surface is 44 cm^(2) . If the pipe is made up of 99 cubic cm of metal, find the outer and inner radii of the pipe.

The difference between inside and outside surfaces of a cylindrical tube 14cm long is 88sq.cm. If the volume of the tube is 176 cubic cm, find the inner and outer radii of the tube.

The difference between the outer and inner curved surface areas of a hollow right circular cylinder 14 cm long is 88\ c m^2 . If the volume of metal used in making the cylinder is 176\ c m^3 , find the outer and inner diameters of the cylinder. (Use pi=22//7 )

The outer curved surface area of a cylindrical metal pipe is 1100 m^(2) and the length of the pipe is 25 m. The outer radius of the pipe is _______.

How much metal sheet is required to prepare a cylindrical pipe 10 cm long and radius 7 cm?

RD SHARMA-SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER-All Questions
  1. If the radius of the base of a right circular cylinder is halved, k...

    Text Solution

    |

  2. A cylindrical road roller made of iron is 1m wide. Its inner diamete...

    Text Solution

    |

  3. The difference between outside and inside surface of a cylindrical m...

    Text Solution

    |

  4. The volume of metallic cylindrical pipe is 748 c m^3 . Its length is 1...

    Text Solution

    |

  5. The curved surface area of a right circular cylinder of height 14\ ...

    Text Solution

    |

  6. The ratio between the curved surface area and the total surface are...

    Text Solution

    |

  7. Savitri had t o make a model of a cylindrical Kaleidoscope for her sci...

    Text Solution

    |

  8. An iron pipe 20 cm long has exterior diameter equal to 25cm. If the...

    Text Solution

    |

  9. The radii of two right circular cylinders are in the ratio 2:3 and ...

    Text Solution

    |

  10. A rectangular sheat of paper 44 c m\ x\ 18 c m is rolled along its ...

    Text Solution

    |

  11. The diameter of a garden roller is 1.4m and it is 2m long. How much...

    Text Solution

    |

  12. The diameter of a roller 120cm long is 84cm. If it takes 500 comple...

    Text Solution

    |

  13. A metal pipe is 77cm long. The inner diameter of a cross section is...

    Text Solution

    |

  14. In Fig. 13.12, you see the frame of a lampshade. It is to be covere...

    Text Solution

    |

  15. Curved surface area of a right circular cylinder is 4. 4\ m^2dot If...

    Text Solution

    |

  16. In a hot water heating system, there is a cylindrical pipe of lengt...

    Text Solution

    |

  17. A cylindrical pillar is 50cm in diameter and 3.5m in height. Find t...

    Text Solution

    |

  18. It is required to make a closed cylindrical tank of height 1m and b...

    Text Solution

    |

  19. A solid cylinder has total surface area of 462 square cm. Its curved...

    Text Solution

    |

  20. The total surface area of a hollow cylinder which is open from both...

    Text Solution

    |