Question

The volume of two cylinders have a ratio of 27:125. What is the ratio of their radii?

Answer 1

Solution

$V=\pi r^2h$$\begin{gathered} \frac{27}{125}=\frac{r^3}{R^3} \\ \\ \frac{27}{125}=(\frac{r}{R})^3 \\ \\ \sqrt[3]{\frac{27}{125}}=\frac{r}{R} \\ \\ \frac{3}{5}=\frac{r}{R} \end{gathered}$

The final answer

Option D

$27:125=3:5$