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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.

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The correct Answer is:
`₹ 4224`
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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 8cm and 20cm respectively. Find the cost of metal sheet used in making the container at the rate of Rs.1.40per square centimeter.

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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. Also find the cost of metal sheet used to make the container, if it costs Rs 8 per 100 cm^(2) . (take pi = 3.14)

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RS AGGARWAL-VOLUME AND SURFACE AREAS OF SOLIDS-Exercise 17D
  1. A copper sphere of diameter 18 cm is drawn into a wire of diameter ...

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  2. The radii of the circulr ends of a frustum of height 6 cm are 14 cm an...

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  3. Determine the ratio of the volume of a cube to that of a sphere which ...

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  4. Find the ratio of the volumes of a cylinder, a cone and a sphere, if e...

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  5. Two cubes each of volume 125 cm^(3) are joined end to end .Find the vo...

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  6. Three metallic cubes whose edges are 3 cm, 4 cm and 5 cm, are melted a...

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  7. A solid metallic sphere of diameter 8 cm is melted and drawn into a cy...

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  8. A 5 m wide cloth is used to make a conical tent of base diameter 14...

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  9. An wooden toy is made by scooping out a hemisphere of same radius f...

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  10. Three cubes of metal whose edges are in the ratio 3:4:5 are melted dow...

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  11. A hollow sphere of internal and external diameters 4 cm and 8 cm re...

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  12. A bucket of height 24 cm is in the form of frustum of the cone whose c...

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  13. The interior of a building is in the form of a right circular cylinder...

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  14. A metallic solid right circular cone is of height 84 cm and the radius...

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  15. A toy is in the form of a cone of radius 3.5 cm mounted on a hemisp...

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  16. If the radii of the circular ends of a bucket 28 cm high, are 28 cm an...

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  17. A bucket is in form of a frustum of a cone with a copacity of 12308.8 ...

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  18. A milk container is made of metal sheet in the shape of frustum of a c...

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  19. A solid metallic sphere of diameter 28 cm is melted and recast into...

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  20. A cylindrical vessel with internal diameter 10 cm and height 10.5 c...

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