The ratio of volumes of two spheres is 27:125. Then the ratio of their diameters is​

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The ratio of volumes of two spheres is 27:125. Then the ratio of their diameters is​

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Anna 3 weeks 2021-09-10T00:53:34+00:00 2 Answers 0 views 0

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    0
    2021-09-10T00:55:08+00:00

    Hi ⭐♥️❣️

     \frac{volume \: 1}{volume \: 2}  =  \frac{27}{125}

     \purple{ \huge \frac{ \frac{4}{3}\pi \: r {}^{3}  }{ \frac{4}{3}\pi \:  {r } {}^{3}  }  =  \frac{27}{125} }

     \green{  \huge\frac{r {}^{3} }{r {}^{3} } =  \frac{27}{125}  }

     \orange{  \frac{radius \: 1}{radius \: 2}  =  \sqrt[3]{ \frac{27}{125} } }

     \therefore \: ratio \: of \: radius = 3 : 5

     \implies radius \: of \: diameter = 6 : 5

    Hope it helps you

     \boxed{ \blue{please \: mark \: as \: brainliest}}

    0
    2021-09-10T00:55:14+00:00

    Answer:

    27:125

    Step-by-step explanation:

    the volume is dependant on the radius only

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