Answer: option a
Step-by-step explanation:
The volume of a cylinder can be calculated with this formula:
[tex]V=\pi r^2h[/tex]
Where the radius is "r" and the height is "h"
Calculate the volume of the Cylinder A:
[tex]V_A=\pi (1m)^2(4m)\\\\V_A=4\pi\ m^3[/tex]
Calculate the volume of the Cylinder B:
[tex]V_B=\pi (1m)^2(8m)\\\\V_B=8\pi\ m^3[/tex]
Now, the ratio of the volume of the Cylinder A to the volume of the Cylinder B can be calculated with:
[tex]ratio=\frac{V_A}{V_B}[/tex]
Substituting values, you get:
[tex]ratio=\frac{4\pi\ m^3}{8\pi\ m^3}[/tex]
[tex]ratio=\frac{1}{2}[/tex] or 1:2
