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

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</p><p>}=\pi 1^23\\\\Rightarrow\ \text{Volume of cylinder A</p><p>}=3\pi`

For cylinder B

radius = 3 m

height =3 m

`\text{Volume of cylinder B</p><p>}=\pi 3^23\\\\Rightarrow\ \text{Volume of cylinder B</p><p>}=27\pi`

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

`\frac{\text{Volume of cylinder A}}{\text{Volume of cylinder B}}=(3\pi)/(27\pi)=(1)/(9)`

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