Question

1. if the height of a cylinder is doubled, what happens to the volume?

a. it doubles
b. it quadruples
c. it remains the same
d. it halves

Explanation:

Step1: Recall the volume formula of a cylinder

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

Step2: Analyze the effect of doubling the height

Let the original height be \(h_1\) and the new height be \(h_2 = 2h_1\). The original volume \(V_1=\pi r^{2}h_1\), and the new volume \(V_2=\pi r^{2}h_2=\pi r^{2}(2h_1) = 2(\pi r^{2}h_1)\).

Answer:

A. It doubles