Question 195543
Volume of Sphere: *[Tex \LARGE V=\frac{4\pi r^{3}}{3}]


Sphere 1: Volume = v1, radius = r1
Sphere 2: Volume = v2, radius = r2


*[Tex \LARGE \frac{V_{1}}{V_{2}}=\frac{27}{8}]


*[Tex \LARGE \frac{\frac{4\pi r_{1}^{3}}{3}}{\frac{4\pi r_{2}^{3}}{3}}=\frac{27}{8}]



*[Tex \LARGE \frac{r_{1}^{3}}{r_{2}^{3}}=\frac{27}{8}]



*[Tex \LARGE \left(\frac{r_{1}}{r_{2}}\right)^3=\frac{27}{8}]



*[Tex \LARGE \frac{r_{1}}{r_{2}}=\sqrt[3]{\frac{27}{8}}]



*[Tex \LARGE \frac{r_{1}}{r_{2}}=\frac{3}{2}]



Ans: ratio is 3:2