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.