Question

find the volume of cylinder with diameter of 12 inches and height of 13 inches round to hundredth and include 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,
- \( \pi \) is approximately 3.14159.

Given that the diameter is 12 inches, the radius \( r \) is half of the diameter:

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

The height \( h \) is given as 13 inches. Now, plug these values into the volume formula:

\[
V = \pi (6)^2 (13)
\]

Calculating \( (6)^2 \):

\[
(6)^2 = 36
\]

Now substitute back into the volume formula:

\[
V = \pi (36) (13)
\]

Calculating \( 36 \times 13 \):

\[
36 \times 13 = 468
\]

Thus, we have:

\[
V = \pi (468)
\]

Now, using \( \pi \approx 3.14159 \):

\[
V \approx 3.14159 \times 468 \approx 1475.53
\]

So, the volume of the cylinder is approximately:

\[
\boxed{1475.53 \ \text{cubic inches}}
\]