Home
Class 10
MATHS
A cone was melted and cast into a cylind...

A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5cm, find the height of the cone.

A

(A) 15 cm

B

(B) 10 cm

C

( C) 18 cm

D

(D) 5 cm

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Linear equations in two variables

    CHETANA PUBLICATION|Exercise EXERCISE|78 Videos

  • MODEL ACTIVITY SHEET

    CHETANA PUBLICATION|Exercise EXERCISE|51 Videos

Similar Questions

Explore conceptually related problems

Curved surface area of a cylinder is 440 cm^(2) and the radius of its base is 7 cm. Find the height of the cylinder.

Curved surface area of a cylinder is 8800 cm^(2) and the radius of its base is 7 cm . Find the height of the cylinder.

Find the volume of the cylinder if the circumference of the cylinder is 132 cm and height is 25 cm.

A cylinder bucket of diameter 28 cm and height 20 cm was full of sand. When the sand in the bucket was poured on the ground, the sand got converted into a shape of a cone. If the height of the cone was 14 cm, what was the base area of the cone?

Sand is pouring at the rate of 12 cm^3 /sec. The falling sand forms a cone on the ground in such away that the height of the cone is always (1/6)th of the radius of the base. How fast is the height of the sand cone increasing, when the height is 4cm?

CHETANA PUBLICATION-Mensuration -Example
  1. Find the perimeter of a sector of a circle if its measure is 90^@ and ...

    Text Solution

    |

  2. The curved surface area of a cylinder is 440cm^2 and its radius is 5 c...

    Text Solution

    |

  3. A cone was melted and cast into a cylinder of the same radius as that ...

    Text Solution

    |

  4. Find the volume of a cube of side 0.01 cm.

    Text Solution

    |

  5. Find the side of a cube of volume 1 m^3.

    Text Solution

    |

  6. Vertical surface area of a cuboid is….

    Text Solution

    |

  7. Total surface area of a cube is 216 cm^2. Find its volume.

    Text Solution

    |

  8. The length, breadth, height of cuboid are in the ratio 1: 1: 2, its to...

    Text Solution

    |

  9. A tent is made up of cylinder and mounted by a conical top. In order t...

    Text Solution

    |

  10. If diameter of a semicircle is 35 cm, then find its arc length. (A) 55...

    Text Solution

    |

  11. Q.1. (A) Choose the correct alternative answer for the following: (1) ...

    Text Solution

    |

  12. If r =7 cm and theta = 36^@, then area of sector is……

    Text Solution

    |

  13. Bricks of dimensions 15 cm times 8 cm times 5 cm are used to build a w...

    Text Solution

    |

  14. If the volume of cylinder is 12436 cm^3 and radius and height of cylin...

    Text Solution

    |

  15. Find the volume of a right circular cone if r = 14 cm and h = 9 cm.

    Text Solution

    |

  16. The volume of two spheres are in the ration 8:27, find the ratio of th...

    Text Solution

    |

  17. Two cubes each with 12 cm edge, are joined end to end. Find the surfac...

    Text Solution

    |

  18. A solid cube with edge 'I' was divided exactly into two equal halves. ...

    Text Solution

    |

  19. A beam 4 m long, 50 cm wide and 20 cm deep is made of wood, which weig...

    Text Solution

    |

  20. A fish tank is in the form of a cuboid, external measures of that cubo...

    Text Solution

    |