Question

which has a greater effect on the volume - changing the radius by a given amount or changing the height by the same amount/ why?

Answer 1

Assuming we’re talking about a cylinder, whose volume formula is V = pi r^2 h…

It will have a greater effect to change a variable’s value that has a greater power on it.

Changing h from 1 to 2 doubles the volume.
Changing r from 1 to 4 quadruples the volume, because 1^2 = 1 and 2^2 = 4. The effect of the change on r is amplified by the power.

Answer 2

hanging the radius by a given amount has a greater effect on the volume than changing the height by the same amount. This is because the value of the radius is squared in the formula.Explanation: