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

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

Text Solution

Verified by Experts

Area of base of right circular cylinder`=616cm^2`
Height of cylinder`=2.5 cm`
Let the radius of cylinder be `r cm`
Area of base of right circular cylinder`=pir^2`
`pir^2=616`
`22/7xxr^2=616`
`r^2=616xx7/22`
`r^2=196`
`r=sqrt196`
`r=14cm`
Curved surface area of cylinder`=2pirh`
`=2xx22/7xx14xx2.5`
`=220 cm^2`
`therefore` Curved surface area of cylinder`=220cm^3`
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 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 cylinder is 42cm and its height is 10cm. 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 2.5cm. Find the curved surface area of the cylinder.

The area of the base of a right circular cylinder is 42pi cm^(2) and height is 3.5 cm. Find its volume.

The area of base of a right circular cylinder is 154 cm^2 and height is 10 cm. Find its volume.

The circumference of the base of a right circular cylinder is 44 cm and its height is 15 cm. The volume (in cm^(3) ) of the cylinder is (use pi=(22)/(7) )

The diameter of the base of a right circular cylinder is 14 cm, while its length is 40 cm. Find the total surface area of the cylinder.

If the diameter of the base of right circular cylinder is 28cm and its height is 30cm, then find its volume.

RD SHARMA-SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER-All Questions
  1. Twenth cylindrical pillars of the Parliament House are to be cleane...

    Text Solution

    |

  2. Curved surface area of a right circular cylinder is 4. 4m^2. If the ra...

    Text Solution

    |

  3. The area of the base of a right circular cylinder is 616 cm^2 and its...

    Text Solution

    |

  4. The circumference of the base of a cylinder is 132 cm and its heigh...

    Text Solution

    |

  5. The thickness of a hollow wooden cylinder is 2cm. It is 35cm long a...

    Text Solution

    |

  6. The diameter of a metallic ball is 4.2 cm. What is the mass of the ba...

    Text Solution

    |

  7. A cylindrical road roller made of iron is 1m wide. Its inner diamet...

    Text Solution

    |

  8. The circumference of the base of a cylindrical vessel is 132 cm and...

    Text Solution

    |

  9. The volume of a solid cylinder is 448\ pic m^3 and height 7cm. Find...

    Text Solution

    |

  10. If the radius of the base of a right circular cylinder is halved, k...

    Text Solution

    |

  11. The radius and height of a cylinder are in the ratio 5 : 7 and its ...

    Text Solution

    |

  12. A solid cylinder has total surface area of 462 square cm. Its curve...

    Text Solution

    |

  13. Into a circular drum of radius 4.2 m and height 3.5m, how many full...

    Text Solution

    |

  14. How many cubic metres of earth must be dug out to sink a well 22.5m...

    Text Solution

    |

  15. The volume of metallic cylindrical pipe is 748\ c m^3dot Its length...

    Text Solution

    |

  16. A hollow cylindrical pipe is 21 dm long. It outer and inner diamete...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the weight of a lead pipe 3.5m long, if the external diameter ...

    Text Solution

    |

  19. A well with 10m inside diameter is dug 14m deep. Earth taken out of...

    Text Solution

    |

  20. It costs Rs. 2200 to paint the inner curved surface of a cylindrica...

    Text Solution

    |