Home
Class 10
MATHS
A milk container of height 16 cm is mad...

A milk container of height 16 cm is made of metal sheet in the form of a frustum of a cone with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of milk at the rate of ₹22 per L which the container can hold.

Text Solution

AI Generated Solution

To solve the problem step by step, we will calculate the volume of the frustum of the cone and then determine the cost of the milk that the container can hold. ### Step 1: Identify the given values - Height of the frustum (h) = 16 cm - Radius of the lower end (r1) = 8 cm - Radius of the upper end (r2) = 20 cm ### Step 2: Use the formula for the volume of a frustum of a cone ...
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    NCERT EXEMPLAR ENGLISH|Exercise SHORT ANSWER TYOE QUESTIONS|14 Videos
  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise LONG ASWERS QUESTIONS|14 Videos
  • TRIANGLES

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|18 Videos

Similar Questions

Explore conceptually related problems

A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of Rs 20 per litre.

A container open at the top and made up of a metal sheet, is in the form of a frustum of a cone of height 14 cm with radii of its lower and upper circular ends as 8 cm and 20 cm, respectively. find the capacity of the container.

A milk container is made of metal sheet in the shape of frustum of a cone whose volume is 10459 3/7 cm^2 . The radii of its lower and upper circular ends are 8 cm and 20 cm respectively. Find the cost of metal sheet used in making the container at the rate of Rs. 1.40 per square centimeter.

a container open at the top and made up of a metal sheet, is in the form of a frustum of a cone of height 14 cm with radii of its lower and upper circular ends as 6 cm and 21 cm, respectively. find the capacity of the container.

An open metal bucket is in the shape of a frustum of a cone of height 21 cm with radii of its lower and upper ends as 10 cm and 20 cm respectively. Find the cost of milk which can completely fill the bucket at Rs. 30 per litre.

A bucket of height 8 cm and made up of copper sheet is in the form of frustum of a right circular cone with radii of its lower and upper ends as 3 cm and 9 cm respectively. (i) Calculate the height of the cone of which the bucket is a part. (ii) The volume of water which can be filled in the bucket. (iii) The area of copper sheet required to make the bucket.

A bucket made up of a metal sheet is in the form of a frustum of a cone of height 16 cm with diameters of its lower and upper ends as 16 cm and 40 cm respectively. Find the volume of the bucket. Also, find the cost of the bucket if the cost of metal sheet used is Rs 20 per 100\ c m^2 . (Use pi=3. 14 )

A container is in the form of a frustum of a cone of height 30 cm with radii of its lower and upper ends as 10 cm and 20 cm respectively. Find the capacity and surface area of the container. Also, find the cost of milk which can completely fill the container at the rate of Rs 25 per litre.[Take pi= 3.14 ]

A bucket is in the form of a frustum of a cone and holds 28.490 litres of water. The radii of the top and bottom are 28 cm and 21 cm respectively. Find the height of the bucket.

A petrol tank is in the form of a frustum of a cone of height 20 m with diameters of its lower and upper ends as 20 m and 50 m respectively. Find the cost of petrol which can fill the tank completely at the rate of Rs. 70 per litre. Also find the surface area of the tank

NCERT EXEMPLAR ENGLISH-SURFACE AREAS AND VOLUMES-LONG ANSWER TYPE QUESTIONS
  1. A hemisphere of lead of radius 8cm is cast into a right circular co...

    Text Solution

    |

  2. A rectangular water tank of base 11 m xx 6m contains water upto a...

    Text Solution

    |

  3. How many cubic cm of iron is required to construct open box whose ext...

    Text Solution

    |

  4. The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5...

    Text Solution

    |

  5. Water flows at the rate of 10 meter per minute through a cylindrical p...

    Text Solution

    |

  6. A heap of wheat is in the form of a cone of diameter 9 m and height ...

    Text Solution

    |

  7. A factory manufacture 120000 pencils daily. The pencils are cylindri...

    Text Solution

    |

  8. Water is flowing at the rate of 15 km/hour through a pipe of diameter ...

    Text Solution

    |

  9. A solid iron rectangular block of dimensions 4.4 m , 2.6 m and 1 m is ...

    Text Solution

    |

  10. 500 persons have to dip in a rectangular tank which is 80 m long an...

    Text Solution

    |

  11. Metal sphere, each of radius 2 cm, are packed into a rectangular ...

    Text Solution

    |

  12. A milk container of height 16 cm is made of metal sheet in the form...

    Text Solution

    |

  13. A cylindrical bucket, 32 cm high and with radius of base 18 cm, is ...

    Text Solution

    |

  14. A rocket is in the form of a right circular cylinder closed at the ...

    Text Solution

    |

  15. A bulinding is in the form of a cylinder surmounted by a hemispheri...

    Text Solution

    |

  16. A hemispherical bowl of internal radius 9 cm is full of liquid . The ...

    Text Solution

    |

  17. A solid right circular cone of height 120 cm and radius 60 cm is pl...

    Text Solution

    |

  18. A water flows through a cylindrical pipe, whose inner radius is 1 cm...

    Text Solution

    |

  19. The rain water from a roof af dimensions 22 m xx 20 m drains into ...

    Text Solution

    |

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

    Text Solution

    |