Question

Find the volume of the cylinder. in cubic millimeters. Round your answer to the nearest hundredth. The height is 13 mm and the radius is 9 mm

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, and
- \( h \) is the height.

Given:
- Height \( h = 13 \) mm
- Radius \( r = 9 \) mm

Substituting the values into the formula:

\[
V = \pi (9^2)(13)
\]

Calculating \( 9^2 \):

\[
9^2 = 81
\]

Now, substituting:

\[
V = \pi (81)(13)
\]
\[
V = \pi (1053)
\]
\[
V \approx 3.14159 \times 1053
\]
\[
V \approx 3305.6757
\]

Rounding to the nearest hundredth:

\[
V \approx 3305.68 \, \text{cubic millimeters}
\]

Thus, the volume of the cylinder is approximately **3305.68 cubic millimeters**.