Does doubling the height of a cylinder have the same effect on the volume of a cylinder as doubling the radius? Explain.

Answer:

No, doubling the height and doubling the radius do not have the same effect on the volume of a cylinder. Doubling the height doubles the volume because the height factor is linear in the formula (V = πr²h). However, doubling the radius quadruples the volume because the radius is squared in the formula (V = π(2r)²h = 4πr²h).