Question

cylinder A has a radius of 1m and height of 3 M. cylinder B has a radius of 3m and a height of 3m. what is the ratio of the volume of cylinder A to the volume of cylinder B

Answer 1

1:9 is your answer . 

Answer 2

Answer: 1:9

Step-by-step explanation:

The volume of cylinder is given by :-

$V_1=\pi r^2h$, where r is radius and h is height of the cylinder.

For cylinder A

radius = 1 m

height =3 m

$\text{Volume of cylinder A}=\pi 1^23\\\\Rightarrow\ \text{Volume of cylinder A}=3\pi$

For cylinder B

radius = 3 m

height =3 m

$\text{Volume of cylinder B}=\pi 3^23\\\\Rightarrow\ \text{Volume of cylinder B}=27\pi$

Now, the ratio of the volume of cylinder A to the volume of cylinder B is given by :-

$\dfrac{\text{Volume of cylinder A}}{\text{Volume of cylinder B}}=\dfrac{3\pi}{27\pi}=\dfrac{1}{9}$

Hence, the ratio of the volume of cylinder A to the volume of cylinder B is  1:9.