Question

Find the height of the cylinder in cubic millimeters. With a height of 13 mm and radius of 8 mm. Round your answer to the nearest tenth

Answer 1

To find the volume of the cylinder, we can use the formula:

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

where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.

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

Now we can substitute the values into the formula:

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

Calculating \( 8^2 \):

\[
8^2 = 64
\]

Now substituting back:

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

Calculating \( 64 \times 13 \):

\[
64 \times 13 = 832
\]

So the volume becomes:

\[
V = \pi \times 832
\]

Using the value of \( \pi \approx 3.14159 \):

\[
V \approx 3.14159 \times 832 \approx 2618.92
\]

Now rounding to the nearest tenth:

\[
V \approx 2618.9 \, \text{cubic millimeters}
\]

Thus, the volume of the cylinder is approximately **2618.9 cubic millimeters**.