Question

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

Answer 1

Answer:

27:125

Step-by-step explanation:

the volume is dependant on the radius only

Answer 2

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

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