The volume of a sphere is equal to ___ the volume of a cylinder of the same height and diameter.

two –third

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one –third

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8 times

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double

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Solution

The correct option is A two –third
$\frac{V o l u m e o f s p h e r e}{V o l u m e o f g i v e n c y l i n d e r} = \frac{\frac{4}{3} π r^{3}}{π r^{2} (2 r)} = \frac{2}{3}$

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Q. The volume of a sphere is equal to ___ the volume of a cylinder of the same height and diameter.

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The volume of a sphere is equal to ___ the volume of a cylinder of the same height and diameter.

The correct option is A two –thirdVolume of sphereVolume of given cylinder=43πr3πr2(2r)=23

The correct option is A two –third
$\frac{V o l u m e o f s p h e r e}{V o l u m e o f g i v e n c y l i n d e r} = \frac{\frac{4}{3} π r^{3}}{π r^{2} (2 r)} = \frac{2}{3}$