Question

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


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Answer 1

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

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

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

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

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

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

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