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. Vo…

Question

asked Nov 7, 2019 113k views

1 Answer

Yuval Roth · Answer 1 · 2019-11-12T07:07:42+0000

The answer is the option A, which is: A. Volume is
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
is the radius of the cylinder and
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.