Question

if a cylinders height is doubled and the radius is unchanged, its volume will _______. a. double b. halve c. triple d. remain the same

Explanation:

Step1: Recall volume formula

The volume formula of a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Consider new - height situation

Let the original height be $h_1$ and new height be $h_2 = 2h_1$, radius $r$ remains the same. Original volume $V_1=\pi r^{2}h_1$, new volume $V_2=\pi r^{2}h_2=\pi r^{2}(2h_1) = 2(\pi r^{2}h_1)=2V_1$. So the volume doubles.

Answer:

A. double