Question

A 3 D cylinder shows a base radius of 8 millimeters and perpendicular height of 13 millimeters. A right angle is formed at the center of the base.

Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.

(1 point)

Answer 1

thats wrong

Answer 2

The volume \( V \) of a cylinder can be calculated using the formula:

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

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

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

Substituting in the values:

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

Calculating \( 8^2 \):

\[
8^2 = 64
\]

Now substituting that back into the volume formula:

\[
V = \pi \times 64 \times 13
\]

Calculating \( 64 \times 13 \):

\[
64 \times 13 = 832
\]

So now we have:

\[
V = \pi \times 832
\]

Using \( \pi \approx 3.14159 \):

\[
V \approx 3.14159 \times 832 \approx 2617.76
\]

Rounding to the nearest hundredth gives:

\[
V \approx 2617.76
\]

Thus, the volume of the cylinder is approximately **2617.76 cubic millimeters**.