Answer:
The ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.
Step-by-step explanation:
Dimension of cylinder A,
Radius is 3 units and height is 4 units.
Dimension of cylinder B,
Radius is 5 units and height is 2 units.
The volume of a cylinder is given by :
[tex]V=\pi r^2 h[/tex]
For cylinder A to B,
[tex]\dfrac{V_A}{V_B}=(\dfrac{r_A}{r_B})^2\times \dfrac{h_A}{h_B}\\\\\dfrac{V_A}{V_B}=(\dfrac{3}{5})^2\times \dfrac{4}{2}\\\\\dfrac{V_A}{V_B}= \dfrac{18}{25}[/tex]
So, the ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.
