Question
When finding the volume of a right cylinder, which formula is equivalent to V=Bh?
V=pi d^2
V= 2pi rh
V=pi^2 r
V= pi r^2 h
V=pi d^2
V= 2pi rh
V=pi^2 r
V= pi r^2 h
Answers
GPT-4o mini
To find the volume \( V \) of a right cylinder, we use the formula:
\[ V = Bh \]
where \( B \) is the area of the base of the cylinder and \( h \) is the height. For a right cylinder with a circular base, the area \( B \) of the base is given by:
\[ B = \pi r^2 \]
where \( r \) is the radius of the base. Therefore, we can substitute \( B \) into the volume formula:
\[ V = \pi r^2 h \]
So among the provided options, the equivalent formula to \( V = Bh \) is:
\[ V = \pi r^2 h \]
\[ V = Bh \]
where \( B \) is the area of the base of the cylinder and \( h \) is the height. For a right cylinder with a circular base, the area \( B \) of the base is given by:
\[ B = \pi r^2 \]
where \( r \) is the radius of the base. Therefore, we can substitute \( B \) into the volume formula:
\[ V = \pi r^2 h \]
So among the provided options, the equivalent formula to \( V = Bh \) is:
\[ V = \pi r^2 h \]