Question

If the height of the cylinder is​ changed, but the volume stays the​ same, then how will the radius​ change? Explain. Choose the correct answer below.

A.
If the height​ increases, then the radius must also increase.​ However, if the height​ decreases, then the radius must increase in order for the volume to stay the same.
B.
If the height of the cylinder​ changes, then the radius must stay the same in order for the volume to stay the same.
C.
If the height​ increases, then the radius must​ decrease, and if the height​ decreases, then the radius must increase in order for the volume to stay the same.
D.
If the height​ increases, then the radius must also​ increase, and if the height​ decreases, then the radius must also decrease in order for the volume to stay the same.

Answer 1

If the height increases the radius will also increase if the height decreases the radius must decrease in order for the volume to stay the same

Answer 2

Option C

Explanation:

Because if both increase, the volume increases

If both decrease, the volume decreases.

Hope it helps!