Question
If the height of a cylinder doubles, it's volume
A 2
B 4
C doubles
D half
A 2
B 4
C doubles
D half
Answers
GPT-4o mini
The volume \( V \) of a cylinder is given by the formula:
\[
V = \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height of the cylinder.
If the height \( h \) of the cylinder doubles, we can represent the new height as \( 2h \). The volume with the new height will be:
\[
V' = \pi r^2 (2h) = 2 \pi r^2 h = 2V
\]
So, if the height of a cylinder doubles, its volume also doubles.
The correct answer is **C) doubles.**
\[
V = \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height of the cylinder.
If the height \( h \) of the cylinder doubles, we can represent the new height as \( 2h \). The volume with the new height will be:
\[
V' = \pi r^2 (2h) = 2 \pi r^2 h = 2V
\]
So, if the height of a cylinder doubles, its volume also doubles.
The correct answer is **C) doubles.**