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

The answer is the option A, which is: A. Volume is [tex] 2 [/tex] times larger.

The explanation for this problem is shown below:

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

[tex] V=\pi r^{2} h [/tex]

Where [tex] r [/tex] is the radius of the cylinder and [tex] h [/tex] is the height of the cylinder.

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

[tex] V=\pi r^{2} 2h\\ V=2\pi r^{2} h [/tex]

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