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Volume and surface area of a solid hemis...

Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of the hemisphere. ?

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The correct Answer is:
9 units
`(2)/(3) pi r^(3) = 3pi r^(2) rArr r = (9)/(2) rArr 2r = 9` units
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RS AGGARWAL-VOLUME AND SURFACE AREA OF SOLIDS-Exercise 15D
  1. A metallic sphere of radius 10.5 cm is melted and then recast into sma...

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  2. How many sphere 12 cm in diameter can be made from a metallic cylinder...

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  3. The diameter of a sphere is 6 cm. It is melted and drawn into a wire o...

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  4. The diameter of a copper sphere is 18 cm. It is melted and drawn into ...

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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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