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If the volume of a sphere be V cubic-uni...

If the volume of a sphere be V cubic-units, then the radius of the sphere will be

A

`((3V)/(4pi))^(3)` unit

B

`(3V)/(4pi)` unit

C

`sqrt((3V)/(4pi))` units

D

`root(3)((3V)/(4pi)` units

Text Solution

Verified by Experts

Let the radius of the sphere be r units
`therefore` the volume of the sphere `=(4)/(3)pir^(3)` cubic-units
As per question ,`(4)/(3)pir^(3)=V "or ," r^(3)=(3V)/(4pi) "or" , r=root(3)((3V)/(4pi)`
`therefore` (d) is correct.
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CALCUTTA BOOK HOUSE-SPHERE-EXERCISE
  1. If the volume of a sphere be V cubic-units, then the radius of the sph...

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  2. If the volume of a solid hemisphere be 19404 cc, then the radius of th...

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  3. If the ratio of the curved surface area of two spheres b 4:9, then the...

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  4. If the wole surface area of a sphere be 5544 sq-cm, then the volume of...

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  5. If the numerical values of the volume and curved surface area of a sph...

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  6. The whole surface area of a hollow hemisphere will be

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  7. If the curved surface area of a globe be (22)/(7) sq-cm, then the radi...

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  8. If the volume of a sphere be 8 times the volume of another sphere, the...

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  9. If the whole surface area of a sphere be pir^(2) sq-uints, then the vo...

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  10. If the diameter of a sphere be 6 cm, then the volume of the sphere wi...

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  11. The ratio of the surface area of a sphere and whole surface area of a ...

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  12. If the curved surface area of a sphere be A sq-cm, then the diameter o...

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  13. The curved surface area and the whole surface area of a hollow sphere ...

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  14. A sphere consists of only one .

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  15. A hemisphere consists of a curved surface and a .

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  16. The height of a sphere is equal to its .

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  17. If a circular iron-plate of thickness (1)/(150) cm is made from an iro...

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  18. The diameter of a hemisphere iron-ball is 42 d cm . Calculate the cost...

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  19. If a solid large sphere is made by melting three small gold-sphere of ...

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  20. If the radius of a sphere be doubled, then what percent of its whole s...

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  21. How many smaller sphere of diameter 1 cm will be got by meltin a soli...

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