Question

What is the ratio of the volume of Cylinder A to the volume of Cylinder B?

Choose 1 answer:

(Choice A)
A
\dfrac{18}{25}
25
18
​
start fraction, 18, divided by, 25, end fraction

(Choice B)
B
\dfrac56
6
5
​
start fraction, 5, divided by, 6, end fraction

(Choice C)
C
\dfrac65
5
6
​
start fraction, 6, divided by, 5, end fraction

(Choice D)
D
\dfrac{25}{18}
18
25
​

Answer 1

The ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.

Explanation:

Dimension of cylinder A,

Radius is 3 units and height is 4 units.

Dimension of cylinder B,

Radius is 5 units and height is 2 units.

The volume of a cylinder is given by :

`V=\pi r^2 h`

For cylinder A to B,

`(V_A)/(V_B)=((r_A)/(r_B))^2* (h_A)/(h_B)\\\\(V_A)/(V_B)=((3)/(5))^2* (4)/(2)\\\\(V_A)/(V_B)= (18)/(25)`

So, the ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.