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A solid consisting of a right circular cone, standing on a hemisphere, is placed upright, in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm, the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer correct to the nearest centimetre
( Take ` pi = 3 (1)/(7)) `

Text Solution

Verified by Experts

The correct Answer is:
`136 cm ^(3)`
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ICSE-CYLINDER, CONE AND SPHERE -EXERCISE 20 (G)
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  2. The diameter of a sphere is 6 cm. It is melted and drawn into a wire o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Two solid spheres of radii 2 cm and 4 cm are melted and recast into a ...

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  19. A certain number of metallic cones, each of radius 2 cm and height 3 c...

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  20. A conical tent has to accommodate 77 persons. Each person must have 16...

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