Answer: 1:9
Step-by-step explanation:
The volume of cylinder is given by :-
[tex]V_1=\pi r^2h[/tex], where r is radius and h is height of the cylinder.
For cylinder A
radius = 1 m
height =3 m
[tex]\text{Volume of cylinder A
}=\pi 1^23\\\\Rightarrow\ \text{Volume of cylinder A
}=3\pi[/tex]
For cylinder B
radius = 3 m
height =3 m
[tex]\text{Volume of cylinder B
}=\pi 3^23\\\\Rightarrow\ \text{Volume of cylinder B
}=27\pi[/tex]
Now, the ratio of the volume of cylinder A to the volume of cylinder B is given by :-
[tex]\dfrac{\text{Volume of cylinder A}}{\text{Volume of cylinder B}}=\dfrac{3\pi}{27\pi}=\dfrac{1}{9}[/tex]
Hence, the ratio of the volume of cylinder A to the volume of cylinder B is 1:9.
