Question

Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth. radius 8mm height 13mm

(1 point)

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.

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

Plugging in the values:

\[
V = \pi (8 \, \text{mm})^2 (13 \, \text{mm})
\]
\[
V = \pi (64 \, \text{mm}^2) (13 \, \text{mm})
\]
\[
V = \pi (832 \, \text{mm}^3)
\]
\[
V \approx 3.14159 \times 832
\]
\[
V \approx 2617.76 \, \text{mm}^3
\]

Now rounding to the nearest hundredth:

\[
V \approx 2617.76 \, \text{cubic millimeters}
\]

Thus, the volume of the cylinder is approximately **2617.76 mm³**.