if the radii of two spheres are in the ratio 2:3, what is the ratio of their volume ​

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if the radii of two spheres are in the ratio 2:3, what is the ratio of their volume

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Arianna 1 month 2021-08-18T19:02:11+00:00 1 Answer 0 views 0

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    2021-08-18T19:03:34+00:00

    \sf\red{\underline{\underline{Answer:}}}

    \sf{\leadsto{Let \ constant \ be \ n.}}

    \sf{\leadsto{Ratio=\dfrac{\frac{4}{3}\times\pi \times \ r_{1}^{3}}{\frac{4}{3}\times\pi \times \ r_{2}^{3}}}}

    \sf{\leadsto{=\dfrac{r_{1}^{3}}{r_{2}^{3}}}}

    \sf{\leadsto{=\dfrac{2^{3}}{3^{3}}}}

    \sf{\leadsto{=\dfrac{8}{27}}}

    \sf{\leadsto{=8:27}}

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