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The volume of the frustum of a cone is (...

The volume of the frustum of a cone is `(1)/(3) pih [r_(1)^(2) +r_(2)^(2)- r_(1)r_(2)]`, where h is vertical height of the frustum and `r_(1), r_(2)` are the radii of the ends.

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Since, the volume of the frustum of a come is `(1)/(3) pi h [r_(1)^(2) +r_(2)^(2) + r_(1)r_(2)]` where h is vertical height of the frustum and `r_(1),r_(2)` are the radii of the ends.
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Prove that r_(1)^(2)+r_(2)^(2) +r_(3)^(3) +r^(2) =16R^(2) -a^(2) -b^(2) -c^(2). where r= in radius, R = circumradius,, r_(1), r_(2), r_(3) are ex-radii.

NCERT EXEMPLAR-SURFACE AREAS AND VOLUMES-Surface Areas And Volumes
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  2. A solid ball is exactly fitted inside the cubical box of side a. T...

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  3. The volume of the frustum of a cone is (1)/(3) pih [r(1)^(2) +r(2)^(2)...

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  4. The capacity of a cylinder vessel with a hemisphere portion raised up...

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  5. The curved surface area of frustum of a cone is pi//(r(1) +r(2)), wh...

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  6. An open metallic bucket is the shape of a frustum of a cone mounted...

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  7. Three metallic solid cubes whose edges are 3 cm ,4 cm and 5 cm melted...

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  8. How many shots each having diameter 3 cm can be made form a cuboid...

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  9. A bucket is in the form of a frustum of a cone and holds 28.490 lit...

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  10. A cone of radius 8 cm and height 12 cm is divided into two parts by a ...

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  11. 2 cubes each of volume 64"\ "c m^3 are joined end to end. Find the ...

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  12. From a solid cube of side 7 cm, a conical cavity of height 7 cm and ...

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  13. Two cones with same base radius 8 cm and height 15 cm are joine...

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  14. Two solid cones A and B are placed in a cylindrical tube as shown in t...

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  15. An ice-ceram cone full of ice-cream having radius 5 cm height 10 c...

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  16. Mearbles of diameter 1.4 cm are dropped into a cylindrical beaker of d...

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  17. How many spherical lead shots each 4.2 cm in diameter can be obtain...

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  18. How many spherical bullets can be made out of a solid cube of lead ...

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  19. A wall 24 m long, 0.4 m thick and 6 m high is constructed with the br...

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  20. Find the number of coins, 1.5 cm in diameter and 0.2 cm thick, to b...

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