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The maximum volume of a cone that can be...

The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is

A

`(pir^3)/3`

B

`(2pir^3)/3`

C

`(pir^3)/6`

D

`3pir^3`

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R G PUBLICATION-SURFACE AREA AND VOLUMES-EXERCISE
  1. During conversion of a solid from one shape to another,the volume of t...

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  2. The diameter of a sphere is 6 cm.It is melted and drawn into a wire of...

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  3. The volume of a cube is 2744cm^3.Its surface area is a)1176cm^2 b) 61...

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  4. The length of the diagonal of a cube 6sqrt3cm.Its total surface area i...

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  5. If edge of a cube is increased by 50% the percentage increase in the s...

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  6. A metallic sphere of radius 10.5cm is melted and then recast into smal...

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  7. A sphere of radius 6cm is dropped into a cylindrical vessel partly fil...

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  8. The curve surface area of a right circular cone of height 15cm and bas...

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  9. In a shower,5 cm rain falls.The volume of the water that falls on 2 he...

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  10. The ratio of the total surface area to the lateral surface area of cyl...

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  11. On increasing each of the radius of the base and the height of a cone ...

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  12. If three metallic spheres of radii 6cm,8cm and 10cm are melted to form...

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  13. A right triangle with sides 3cm,4cm and 5cm is rotated about the side ...

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  14. The volume of the greatest sphere that can be cut off from a cylindric...

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  15. The maximum volume of a cone that can be carved out of a solid hemisph...

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  16. The diameter of the ends of a frustum of a cone are 32 cm and 20cm.If ...

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  17. The circular ends of a bucket are of radii 35cm and 14 cm and the heig...

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  18. The height and radius of the cone of which the frustum is a part are h...

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  19. If the radius of the base of a right circular cylinder is halved,keepi...

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  20. A soild frustum is of height 8 cm.If the lower and upper ends are 3cm ...

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