Question

Find the volume of a cylinder if it has a diameter of 8 and a height of 12.


Answers:
2412.74
96
603.19
112

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 of the base,
- \( h \) is the height of the cylinder.

First, we need to find the radius. The diameter is given as 8, so the radius \( r \) will be:

\[
r = \frac{\text{diameter}}{2} = \frac{8}{2} = 4
\]

Now, we can plug the values into the volume formula:

\[
V = \pi (4^2)(12)
\]

Calculating \( r^2 \):

\[
4^2 = 16
\]

Now substituting this into the formula:

\[
V = \pi (16)(12)
\]
\[
V = 192\pi
\]

Now using \( \pi \approx 3.14 \):

\[
V \approx 192 \times 3.14 \approx 602.88
\]

Rounding to two decimal places, we have:

\[
V \approx 603.19
\]

Thus, the volume of the cylinder is approximately **603.19**.