Question

How many times larger is the new volume of a cylinder if only the height doubled, and the radius remained the same?

A. Volume is 2 times larger

B. Volume is 8 times larger

C. Volume is 4 times larger

Answer 1

The answer is the option A, which is: A. Volume is $2$ times larger.

The explanation for this problem is shown below:

1. The formula for calculate the volume of a cylinder is:

$V=\pi r^{2} h$

Where $r$ is the radius of the cylinder and $h$ is the height of the cylinder.

2. If the height of the cylinder is doubled, you have the the new volume is:

$V=\pi r^{2} 2h\\ V=2\pi r^{2} h$

3. As you can see, the new volume is two times the original volume. Therefore, it is two times larger.