Question

A cylinder with a radius of $4inches$ and a height of $6inches$ is similar to a cylinder with a radius of r inches and a height of $9inches$. What is the value of $r$?

Answer 1

$$\begin{gathered} \mathbf{Since}\mathbf{}\mathbf{the}\mathbf{}\mathbf{cylinders}\mathbf{}\mathbf{are}\mathbf{}\mathbf{similar} \\ \frac{\mathrm{Radius}\mathrm{of}\mathrm{cylinder}1}{\mathrm{Radius}\mathrm{of}\mathrm{cylinder}2}=\frac{\mathrm{Height}\mathrm{of}\mathrm{cylinder}1}{\mathrm{Height}\mathrm{of}\mathrm{cylinder}2} \end{gathered}$$

$$\begin{gathered} \frac{4}{r}=\frac{6}{9} \\ r*6=4*9 \\ r=\frac{36}{6} \end{gathered}$$

$r=6$

Final Answer: Value of r is 6 inches .