2. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. Find the ratio of their volumes.

or

Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

Where "r" is the radius and "h" is the height of the cylinder.

In this case, let be:

- the volume of one of this cylinders and the volume of the other one.

- the radius of the first one and the radius of the other cylinder.

- the height of one of them and the height of the other cylinder.

Then:

Therefore, you know this:

Simplifying, you get:

Now, knowing the ratios given in the exercise, you can substitute them into the equation:

Evaluating, you get:

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