Question

What is the effect on the volume of a cylinder when the radius is doubled and the height is unchanged?

Answer 1

If the radius of a cylinder is doubled and the height remains unchanged, the volume of the cylinder is increased by a factor of 4. This is because the volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. When the radius is doubled, the new volume becomes V' = π(2r)^2h = 4πr^2h, which is four times the original volume V.