Question

the ratio of the two volumes of two sphere is 8:27. if r and R are the radii of Sheree respectively,then find (R-r):r​

Answer 1

Answer:

1 : 2

$\frac{V}{v} = \frac{ \frac{4}{3}\pi \: R { }^{3} }{ \frac{4}{3} \pi \: {r}^{3} } = \frac{R {}^{3} }{ {r}^{3} } = \frac{27}{8} \\ \\ \frac{R}{r} = \sqrt[3]{ \frac{27}{8} } = \frac{3}{2} \implies \: R = \: \frac{3r}{2}$

Now

$\frac{R - r}{r} = \frac{ \frac{3r}{2} - r }{r} = \frac{( \frac{r}{2} )}{r} = \frac{1}{2}$

Answer 2

Answer:

1:2

Step-by-step explanation:

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