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The height of a solid cone is 30 cm. A s...

The height of a solid cone is 30 cm. A small cone is cut off from the top of it such that the base of the cone cut off and the base of the given cone are parallel to each other. If the volume of the cone cut and the volume of the original cone are in the ratio 1:27, find the height of the the remaining part of the given cone.

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The correct Answer is:
20 cm
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ICSE-CYLINDER, CONE AND SPHERE -EXERCISE 20 (G)
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  3. A largest sphere is to be carved out of a right circular cylinder of r...

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  4. A right circular cylinder having diameter 12 cm and height 15 cm is ...

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  5. A solid is in the form of a cone standing on a hemi-sphere with both t...

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

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

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  8. A solid iron pole having cylindrical portion 110cm high and of base ...

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  9. In the following diagram a rectangular platform with a semi-circular e...

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  10. The cross-section of a tunnel is a square of side 7 m surmounted by a ...

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  11. The cross-section of a tunnel is a square of side 7 m surmounted by a ...

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  12. The cross-section of a tunnel is a square of side 7 m surmounted by a ...

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  13. A cylindrical water tank of diameter 2.8 m and height 4.2 m is being f...

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  14. Water flows, at 9 km per hour, through a cylindrical pipe of cross-sec...

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  15. The given figure shows the cross-section of a cone, a cylinder and a h...

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  16. A solid consisting of a right circular cone, standing on a hemisphere,...

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  17. A metal container in the form of a cylinder is surmounted by a hemisph...

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  18. A metal container in the form of a cylinder is surmounted by a hemisph...

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  19. An exhibition tent is in the form of a cylinder surmounted by a cone. ...

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  20. A test tube consists of a hemisphere and a cylinder of the same radius...

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  21. A solid is in the form of a right circular cone mounted on a hemispher...

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