Question

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

pi * (2.5) ^ 2 * (9) * in .^ 3

pi(2.5)(9) * in .^ 3

(2.5)(9) * in .^ 3

π(9)2 (2.5) in.3

Answer 1

To find the volume of a cylinder, you can use the formula:

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

where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height.

Given the base radius \( r = 2.5 \) in and height \( h = 9 \) in, we can substitute these values into the formula:

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

Calculating \( (2.5)^2 \):

\[
(2.5)^2 = 6.25
\]

Now, plug this back into the volume formula:

\[
V = \pi (6.25)(9)
\]

Next, calculate \( 6.25 \times 9 \):

\[
6.25 \times 9 = 56.25
\]

Thus, we have:

\[
V = 56.25 \pi \, \text{in}^3
\]

None of the options you provided exactly match the correct expression for the volume of the cylinder, which is \( 56.25 \pi \, \text{in}^3 \) or expressed in terms of the original variables, \( V = \pi (2.5)^2 (9) \, \text{in}^3 \).

The closest expression from your list would be:

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

So the correct representation of the volume of the cylinder is:

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