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A drinking glass is in the shape of a frustum of a cone height 14 cm.The diameters of its two circular ends 4 cm and 2 cm.Find the capacity of the glass.

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A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameter of its circular ends are 4 cm and 2 cm. Find the capacity of the glass.

If the slant height of the frustum of a cone is 5 cm.If the difference between the radii of its two circular ends is 4 cm then find the height of the frustum.

The slant height of a frustum of a cone 4 cm and the perimeters(circumferences) of its circular ends are 18 cm and 6 cm.Find the curved surface area of the frustum.

The slant height of the frustrum of a cone is 5cm.If the difference between the radii of its two circular ends is 4 cm then find the height of the frustum.

The slant height of a frustum of a cone is 4 cm and the perimeter (circumference) of its circular ends are 18 cm and 16 cm. Find the curved surface area of the frustum.

The height and the diameter of a cylinder are 6 cm and 14 cm respectively. Find the area of the whole surface.

A bucket is in the form of a frustum of a cone. In depth is 15 cm and the diameters of the top and bottom are 56 cm and 42 cm respectively. Find how many litres of water can the bucket hold (pi=22/7) .

A bucket made up of a metal sheet is in the form of a frustum of a cone. Its depth is 24 cm and the diameters of the top and bottom are 30 cm and 10 cm respectively. Find the cost of milk which can completely fill the bucket at the rate of ₹ 20 per litre and the cost of metal used, if its cost ₹ 10 per 100 cm^2 (pi = 3.14) .

An oil funnel made of tin sheet consists of a 10cm long cylindrical portion attached to a frustum of a cone.If the total height is 22cm,diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm,find thev area of the tin sheet required to made the funnel(seeFig.13.25).

A bucket is in the form of a frustum of a cone with capacity of 12,308.8 cm^3 of water. The radii of the top and bottom circular ends are 20 cm and 12 cm respectively. Find the height of the bucket and the area of the metal sheet used in its making (pi = 3.14) .

R G PUBLICATION-SURFACE AREA AND VOLUMES-EXERCISE
  1. Water in a canal,6 m wide and 1.5 m deep,is flowing with a speed of 10...

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  2. A farmer connects a pipe of internal diameter 20cm from a canal into a...

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  3. A drinking glass is in the shape of a frustum of a cone height 14 cm.T...

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  4. The slant height of a frustum of a cone 4 cm and the perimeters(circum...

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  5. A fez,the cap used by the Turks,is shaped like the frustum of a cone ...

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  6. A copper wire,3 mm in diameter, is wound about a cylinder whose length...

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  7. A right triangle whose sides are 3 cm and 4 am (other than hypotenuse)...

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  8. In one fortnight of a given month,there was a rainfall of 10 cm in a r...

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  9. An oil funnel made of tin sheet consists of a 10cm long cylindrical po...

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  10. The surface area of a sphere is 616cm^2.Find its radius.

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  11. A cylinder,a cone and a hemisphere are of equal base and have the same...

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  12. A cylinder and a cone are of the same base radius and of some height.F...

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  13. A sphere and a cube have equal surface areas.What is the ratio of the ...

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  14. The radii of two cones are in the ratio 2:1 and their volumes are equa...

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  15. The radii of the bases of a cylinder and a cone are in the ratio 3:4 a...

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  16. Two cones height are in the ratio 1:3 and radii 3:1.What is the ratio ...

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  17. Two cubes have their volumes in the ratio 1:27.What is the ratio of th...

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  18. A sphere of maximum volume is cut out from a solid hemisphere of radiu...

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  19. What is the ratio of the volume of a cube to that of a sphere which wi...

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  20. If the slant height of the frustum of a cone is 5 cm.If the difference...

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