Question

find volume of cylinder with diameter of 12 inches and s and height of 13inches round to hundredth and includ units

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,
- \( h \) is the height.

First, we need to find the radius. The diameter is given as 12 inches, so the radius \( r \) is:

\[
r = \frac{\text{diameter}}{2} = \frac{12 \text{ in}}{2} = 6 \text{ in}
\]

Now, we can plug in the values for \( r \) and \( h \):

\[
r = 6 \text{ in}, \quad h = 13 \text{ in}
\]

Now, substitute these values into the volume formula:

\[
V = \pi (6 \text{ in})^2 (13 \text{ in})
\]
\[
V = \pi (36 \text{ in}^2) (13 \text{ in})
\]
\[
V = \pi (468 \text{ in}^3)
\]
\[
V \approx 3.14159 (468 \text{ in}^3) \approx 1476.76 \text{ in}^3
\]

Therefore, the volume of the cylinder is approximately:

\[
\boxed{1476.76 \text{ in}^3}
\]