Describe the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in.(1 point)

Question

Responses

π(9)2(2.5)in.3
π
(
9
)
2
(
2.5
)
in
.
3
pi left parenthesis 9 right parenthesis squared left parenthesis 2.5 right parenthesis in. cubed

π(2.5)2(9)in.3
π
(
2.5
)
2
(
9
)
in
.
3
pi left parenthesis 2.5 right parenthesis squared left parenthesis 9 right parenthesis in. cubed

(2.5)(9)in.3
(
2.5
)
(
9
)
in
.
3
left parenthesis 2.5 right parenthesis left parenthesis 9 right parenthesis in. cubed

π(2.5)(9)in.3

Answer 1

The volume \( V \) of a cylinder is calculated using the formula:

\[ V = \pi r^2 h \]

where \( r \) is the radius of the base and \( h \) is the height. For the given cylinder with a base radius of \( 2.5 \) inches and a height of \( 9 \) inches, you can substitute these values into the formula:

\[ V = \pi (2.5)^2 (9) \]

This means the correct expression for the volume of the cylinder is:

\[ \pi (2.5)^2 (9) \text{ in}^3 \]

Thus, the correct response from the options provided is:

\(\pi (2.5)^2 (9) \text{ in}^3\)