• # question_answer The volume of two hemisphere are in the ratio 8 : 27. What is the ratio of their radii? A)  2 : 3   B)  3 : 2  C)  1 : 2    D)  2 : 1

Let the volumes be ${{V}_{1}}$ and ${{V}_{2}}$. $\therefore$ ${{V}_{1}}:{{V}_{2}}=8:27$ $\Rightarrow$ $\frac{2}{3}\pi r_{1}^{3}:\frac{2}{3}\pi r_{2}^{3}=8:27$ $\Rightarrow$ $r_{1}^{3}:r_{2}^{3}=8:27$ $\therefore$ ${{r}_{1}}:{{r}_{2}}=2:3$