Question

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

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,
- and \( \pi \) is approximately \( 3.14159 \).

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

Now plug in the values:

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

Calculating \( (8)^2 \):

\[
(8)^2 = 64
\]

Now substitute back into the volume formula:

\[
V = \pi (64) (13)
\]
\[
V = \pi (832)
\]

Now, calculate \( 832 \times \pi \):

\[
V \approx 832 \times 3.14159 \approx 2617.93
\]

Rounding to the nearest hundredth, the volume of the cylinder is approximately:

\[
\boxed{2617.93} \text{ cubic millimeters}
\]