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

1 answer

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:

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