GilbertoX200599 GilbertoX200599
  • 28-10-2022
  • Mathematics
contestada

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

The volume of two cylinders have a ratio of 27125 What is the ratio of their radii class=

Respuesta :

HarveyR522393 HarveyR522393
  • 28-10-2022

Solution

[tex]V=\pi r^2h[/tex][tex]\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}[/tex]

The final answer

Option D

[tex]27:125=3:5[/tex]

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