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If the radius of the base of a cylinder is 3 meters, how many times will the volume increase if you double the radius of the cylinder?

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Final answer:

The volume of a cylinder doubles when the radius is doubled. With the new radius, the volume of the cylinder is four times its original volume.

Step-by-step explanation:

The volume of a cylinder is calculated by the formula V=πr²h, where V is the volume, r is the radius of the base, and h is the height.

When the radius is doubled, the new radius will be 2r. Substituting 2r into the cylinder volume formula, we get V'=π(2r)²h=4πr²h.

This volume is four times the original volume of the cylinder with a radius r. So, if you double the radius of a cylinder, its volume will increase four times over the original volume.

Learn more about Cylinder Volume

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