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A hemispherical bowl of internal radius ...

A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to the filled into cylindrical shaphed small bottles of diameter 3 cm and height 4 cm. How many bottles are required to empty the bowl ?

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The correct Answer is:
54

Number of bottles `= ("volume of bowl")/("volume of each bottle") = ({(2)/(3) pi xx (9)^(3)})/({pi xx ((3)/(2))^(2) xx 4}) = 54`
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RS AGGARWAL-VOLUME AND SURFACE AREA OF SOLIDS-Exercise 15D
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  5. A sphere of diameter 15.6 cm is melted and cast into a right circular ...

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  6. A spherical cannonball 28 cm in diameter is melted and cast into a rig...

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  7. A spherical ball of radius 3 cm is melted and recast into the spherica...

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  8. The radii of two spheres are in the ratio 1 : 2. Find the ratio of the...

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  9. The surface areas of two spheres are in the ratio 1 : 4. Find the rati...

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  10. A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. ...

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  11. A cylindrical bucket with base radius 15 cm is filled with water up to...

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  12. The outer diameter of a spherical shell is 12 cm and its inner diamete...

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  13. A hollow spherical shell is made of a metal of density 4.5 g per cm^(3...

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  14. A hemisphere of lead of radius 9 cm is cast into a right circular cone...

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  15. A hemispherical bowl of internal radius 9 cm contains a liquid. This l...

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  16. a hemispherical bowl is made of steel 0.5 cm thick. The inside radius ...

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  17. A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius...

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  18. A hemispherical bowl made of brass has inner diameter 10.5 cm. Find th...

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  19. The diameter of the moon is approximately one fourth of the diamete...

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  20. Volume and surface area of a solid hemisphere are numerically equal. W...

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