Question

Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.

(1 point)
cubic millimeters
hight 13mm radius 8mm

Answer 1

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

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

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately \( 3.14159 \).

Given:
- Height \( h = 13 \) mm,
- Radius \( r = 8 \) mm.

Substituting the values into the formula, we have:

\[
V = \pi (8^2)(13)
\]

Calculating \( 8^2 \):

\[
8^2 = 64
\]

Now substituting back:

\[
V = \pi (64)(13)
\]

Calculating \( 64 \times 13 \):

\[
64 \times 13 = 832
\]

Now substituting this result into the volume formula:

\[
V = \pi \times 832
\]

Using \( \pi \approx 3.14159 \):

\[
V \approx 3.14159 \times 832 \approx 2617.99368
\]

Rounding this to the nearest hundredth, we get:

\[
V \approx 2617.99 \text{ cubic millimeters}
\]

So the volume of the cylinder is approximately:

\[
\boxed{2617.99} \text{ cubic millimeters}
\]