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A cone, a hemisphere and a cylinder have...

A cone, a hemisphere and a cylinder have equal bases. The heights of the cone and cylinder are equal and are same as the common radius. Are they equal in volume?

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Verified by Experts

The correct Answer is:
No
They are in the ratio `1/3 :2/3:1 or 1:2:3`.
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PREMIERS PUBLISHERS-MENSURATION-SOLUTION TO THINKING CORNER
  1. Compare the above surface area with the area of the base of the cone.

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  2. Find the value of the radius of a sphere whose surface area is 36pi sq...

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  3. How many great circles can a sphere have?

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  4. Find the surface area of the earth whose diameter is 12756 kms.

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  5. Shall we get a hemisphere when a sphere is cut along time small circle...

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  6. T.S.A of a hemisphere is equal to how many times the area of its base?

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  7. How many hamispheres can be obtained from a given sphere?

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  8. Give two real life examples for a frustum of a cone.

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  9. Can a hemisphere be considered as a frustum of a sphere.

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  10. If the height is inversely proportional to the square of its radius, t...

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  11. What happens to the volume of the cylinder with radius r and height h,...

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  12. Is it possible to find a right circular cone with equal, (a) height ...

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  13. Is it possible to find a right circular cone with equal, (b) radius ...

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  14. Is it possible to find a right circular cone with equal, (c) height ...

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  15. There are two cones with equal volumes. What will be the ratios of the...

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  16. A cone, a hemisphere and a cylinder have equal bases. The heights of t...

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  17. Give any two real life examples of sphere and hemisphere.

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  18. A plane along a great circle will split the sphere into …………. Parts.

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  19. If the volume and surface area of a sphere are numerically equal, then...

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  20. Is it possible to obtain the volume of the full cone when the volume o...

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