Question
Describe the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in.(1 point)
Responses
π(9)2(2.5)in.3
π(2.5)2(9)in.3
(2.5)(9)in.3
π(2.5)(9)in.3
Responses
π(9)2(2.5)in.3
π(2.5)2(9)in.3
(2.5)(9)in.3
π(2.5)(9)in.3
Answers
GPT-4o mini
The formula for the volume \( V \) of a cylinder is given by:
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
In this case, the radius \( r = 2.5 \) inches and the height \( h = 9 \) inches. Plugging these values into the formula, we have:
\[
V = \pi (2.5)^2 (9)
\]
Thus, the correct expression for the volume of the cylinder is:
\[
\pi(2.5)^2(9) \text{ in}^3
\]
The correct response from the options provided is:
\(\pi(2.5)^2(9) \text{ in}^3\)
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
In this case, the radius \( r = 2.5 \) inches and the height \( h = 9 \) inches. Plugging these values into the formula, we have:
\[
V = \pi (2.5)^2 (9)
\]
Thus, the correct expression for the volume of the cylinder is:
\[
\pi(2.5)^2(9) \text{ in}^3
\]
The correct response from the options provided is:
\(\pi(2.5)^2(9) \text{ in}^3\)