Home
Class 9
MATHS
A solid cylinder has a total surface ...

A solid cylinder has a total surface area of `231\ c m^2dot` Its curved surface area is `2/3` of the total surface area. Find the volume of the cylinder.

Text Solution

Verified by Experts

T.S.A of cylinder = `231cm^2`
A.T.Q
`C.S.A = 2/3 T.S.A`
`C.S.A = 2/3xx231`=`154cm^2`
Now, `C.S.A = 2pirh`
`2pirh=154`___1
As we know that `2pirh+2pir^2=231`
`154+2xx22/7xxr^2=231` (from1)
...
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

A solid cylinder has the total surface area 231 sq. cm. If its curved surface area is 2/3 of the total surface area, then the volume of the cylinder is:

A solid cylinder has total surface area of 462 square cm. Its curved surface area is one-third of its total surface area. Find the volume of the cylinder. (Take pi=22/7 )

A solid cylinder has total surface area of 462 square cm. Its curved surface area is one-third of its total surface area.Find the volume of the cylinder.(Take pi=22/7)

A solid cylinder has total surface area of 462 square cm.Its curved surface area is one-third of its total surface area.Find the volume of the cylinder.(Take pi=(22)/(7))

The total surface area of solid cylinder is 231 cm^(2) and its curved surface area is (2)/(3) of the total surface area. Find the volume of the cylinder.

A solid cylinder has total surface area of 462cm^(2). Its curved surface area is one-third of its total surface area.Find the radius and height of the cylinder.

A solid cylinder has total surface area of 462 sq. cm. Its curved surface area is (1)/(3) rd of the total surface area. Then the radius of the cylinder is

RD SHARMA-SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER-All Questions
  1. A patient in a hospital is given soup daily in a cylindrical bowl o...

    Text Solution

    |

  2. A hollow garden roller, 63cm wide with a girth of 440 cm, is made o...

    Text Solution

    |

  3. A solid cylinder has a total surface area of 231\ c m^2dot Its curv...

    Text Solution

    |

  4. The cost of painting the total outside surface of closed cylindrica...

    Text Solution

    |

  5. The radii of two cylinders are in the ratio 2:3 and their heights a...

    Text Solution

    |

  6. The ration between the curved surface area and the total surface ar...

    Text Solution

    |

  7. The curved surface area of a cylinder is 1320\ c m^2 and its base h...

    Text Solution

    |

  8. The ratio between the radius of the bawse and the height of a cy...

    Text Solution

    |

  9. A rectangular sheet of paper, 44 c m\ x\ 20 c m , is rolled along i...

    Text Solution

    |

  10. The curved surface area of a cylindrical pillar is 264\ m^2 and its...

    Text Solution

    |

  11. Two circular cylinders of equal volumes have their heights in the r...

    Text Solution

    |

  12. The height of a right circular cylinder is 10.5 m. Three times the ...

    Text Solution

    |

  13. How many cubic metres of earth must be dogout to sink a well 21m...

    Text Solution

    |

  14. The trunk of a tree is cylindrical and its circumference is 176cm. ...

    Text Solution

    |

  15. A well with 14m diameter is dug 8m deep. The earth taken out of it ...

    Text Solution

    |

  16. The difference between inside and outside surfaces of a cylindrical...

    Text Solution

    |

  17. Water flows out through a circular pipe whose internal diameter is ...

    Text Solution

    |

  18. A cylindrical container with diameter of base 56cm contains suffici...

    Text Solution

    |

  19. A cylindrical tube, open at both ends, is made of metal. The intern...

    Text Solution

    |

  20. From a tap of inner  radius 0.75cm, water flows at the rate of 7...

    Text Solution

    |