If the radius of a cylinder is doubled and the height remains the same, find the change in the volume.

The change of volume would be doubled

Hi!

The volume of cylinder is: V1 = B1 * H, where B1 = r^2 * pi

If the radius is doubled, then the volume is: V2 = B2 * H, where B2 = (2r)^2 * pi = 4 * r^2 * pi = 4 * B1 => V2 = 4 * B1 * H.

The answer is: If the radius is doubled, the volume will be 4 times bigger.

Hope this helps!

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