Answer:
The ratio of the volume of cylinder a to the volume of cylinder b is 1 : 2 .
Step-by-step explanation:
We know that,
The volume of a cylinder is,
[tex]V=\pi (r)^2 h[/tex]
Where, r is the radius of the cylinder,
h is the height of the cylinder,
Given,
For cylinder a,
r = 1 m and h = 4 m
Thus, the volume of the cylinder a is,
[tex]V_1=\pi (1)^2(4)[/tex]
[tex]=4\pi \text{ square m}[/tex]
Now, for cylinder b,
r = 1 m and h = 8 m
Thus, the volume of the cylinder b is,
[tex]V_2=\pi (1)^2(8)[/tex]
[tex]=8\pi \text{ square m}[/tex]
Hence, the ratio of the volume of cylinder a to the volume of cylinder b is,
[tex]\frac{V_1}{V_2}=\frac{4\pi }{8\pi }=\frac{1}{2}[/tex]
