If sphere and hemisphere are having same volume. Their radius are in the ratio?
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Let the radius of sphere be " a "
Volume of the sphere = 4/3πa³
Let the radius of hemisphere be " b "
Volume of hemisphere = 2/3πb³
Given
Volume of sphere = Volume of hemisphere
4/3πa3 = 2/3πb³
2a³=b³
a³/b³ = 1/2
a/b =![\sqrt[3]{ \frac{1}{2} } \sqrt[3]{ \frac{1}{2} }](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%5Cfrac%7B1%7D%7B2%7D+%7D+)
a : b = 1 :![\sqrt[3]{2} \sqrt[3]{2}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B2%7D+)
Therefore ,their radii are in the ratio 1 :
Volume of the sphere = 4/3πa³
Let the radius of hemisphere be " b "
Volume of hemisphere = 2/3πb³
Given
Volume of sphere = Volume of hemisphere
4/3πa3 = 2/3πb³
2a³=b³
a³/b³ = 1/2
a/b =
a : b = 1 :
Therefore ,their radii are in the ratio 1 :
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