Question

A cylinder has a height of 8 and a radius of 4 whats the volume

Answer 1

To find the volume \( V \) of a cylinder, you can use the formula:

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

where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately \( 3.14159 \).

Given:
- Radius \( r = 4 \)
- Height \( h = 8 \)

Now plug in the values:

\[
V = \pi (4)^2 (8)
\]

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute that into the volume formula:

\[
V = \pi (16)(8)
\]

Calculating \( 16 \times 8 \):

\[
16 \times 8 = 128
\]

So, we have:

\[
V = \pi \times 128
\]

Thus, the volume is:

\[
V \approx 128\pi
\]

If you want a numerical approximation, you can use \( \pi \approx 3.14 \):

\[
V \approx 128 \times 3.14 \approx 402.12
\]

So the volume of the cylinder is approximately \( 402.12 \) cubic units, or exact as \( 128\pi \) cubic units.