Question

Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.
13mm is h 8mm is r

Answer 1

To find the volume of a cylinder, the formula is given by:

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

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

In this case, you've provided:
- Height \( h = 13 \) mm
- Radius \( r = 8 \) mm

Now we can plug these values into the formula:

\[
V = \pi (8 \, \text{mm})^2 (13 \, \text{mm})
\]

Calculating \( (8 \, \text{mm})^2 \):

\[
(8 \, \text{mm})^2 = 64 \, \text{mm}^2
\]

Now, substituting this back into the volume formula:

\[
V = \pi (64 \, \text{mm}^2) (13 \, \text{mm}) = \pi (832 \, \text{mm}^3)
\]

Now, calculating the volume:

\[
V \approx 3.14159 \times 832 \, \text{mm}^3 \approx 2618.9837 \, \text{mm}^3
\]

Rounding to the nearest hundredth:

\[
V \approx 2618.98 \, \text{mm}^3
\]

Thus, the volume of the cylinder is approximately **2618.98 cubic millimeters**.