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The radius of a right circular cylinder ...

The radius of a right circular cylinder is r unit and height is 2r units . The diameter of the largest sphere that can be put into the cylinder will be

A

r unit

B

2r unit

C

`r/2 ` unit

D

4r unit

Text Solution

Verified by Experts

The correct Answer is:
B
The radius of the cylinder = r unit and height = 2r unit
` :. ` the diameter of the sphere = 2r unit
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CALCUTTA BOOK HOUSE-PROBLEMS RELATED TO DIFFERENT SOLIDS AND OBJECTS -Long - answer type questions (LA):
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  2. A conical pot of internal radius 5 cm and height 24 cm is filled with ...

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  3. If a right circular wooden piece of equal height and radius be cut of...

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  4. A part of an iron -pillar is a right circular cylindrical shaped and...

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  5. A right circular cone is made by melting a piece of metal right cylin...

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  6. The lower part of a radius tent is a right circular cylinder and its ...

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  7. What will be the volume of an open conical cup made by bending a semic...

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  8. The radii of the two ends of a pail of height 45 cm ar 28 cm and 7 cm ...

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  9. How many centimetres the water - level of a partly filled cylindrical...

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  10. The height of a right circular cylindrical icecream box of radius 6 ...

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  11. If the height of the cylinder is 9 cm and its radius of base is 7 cm...

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  12. Both ends of right circular cylindrical tank are semicircular . If di...

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  13. A sphere is inscribed in a right circular cylinder . Prove that th...

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  14. A right circular cone of same radius is made by melting a right circu...

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  15. The internal and external diametres of a hollow sphere are 6 cm and 10...

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  16. The radius of base and height of a right circular cones are 14 cm an...

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  17. 6 equal spheres are made by melting a iron - rod of radius 8 cm . I...

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  18. The length , breadth and height of a rectangular paralelopiped are 1...

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  19. The volume of a cube is 8a^(3) , the diameter of a sphere is equal...

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  20. The diagonal of the base of a cube is 2 decimetre . At least how many...

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  21. A solid sphere of diameter 6 dcm is reduced to a pipe of length 4 dc...

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