Question

1. if a cylinders height is doubled and the radius is unchanged, its volume will _____.

a. double
b. halve
c. remain the same
d. triple

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: Modify height

If the height is doubled, the new height is $h_{new}=2h$. The new - volume $V_{new}=\pi r^{2}(2h)$.

Step3: Compare volumes

We can rewrite $V_{new}$ as $V_{new} = 2(\pi r^{2}h)$. Since $V=\pi r^{2}h$, we have $V_{new}=2V$.

Answer:

A. double