Question

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

Answer 1

Answer:

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

Step-by-step 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,

$\dfrac{V_A}{V_B}=(\dfrac{r_A}{r_B})^2\times \dfrac{h_A}{h_B}\\\\\dfrac{V_A}{V_B}=(\dfrac{3}{5})^2\times \dfrac{4}{2}\\\\\dfrac{V_A}{V_B}= \dfrac{18}{25}$

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