Question

A 3 D oblique cylinder shows a length of 10 meters and a perpendicular height of 7 meters. The base radius is 4 meters.

Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth

Answer 1

To find the volume of a cylinder, we can use the formula:

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

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

In this case, the parameters are:
- Radius \( r = 4 \) meters,
- Height \( h = 7 \) meters,
- Using \( \pi \approx 3.14 \).

Now, plug the values into the volume formula:

\[
V = 3.14 \times (4^2) \times 7
\]

Calculate \( 4^2 \):

\[
4^2 = 16
\]

Now substitute back into the formula:

\[
V = 3.14 \times 16 \times 7
\]

Calculate \( 16 \times 7 \):

\[
16 \times 7 = 112
\]

Now substitute that back in:

\[
V = 3.14 \times 112
\]

Finally, calculate \( 3.14 \times 112 \):

\[
V = 351.68
\]

Therefore, the volume of the cylinder is:

\[
\boxed{351.68} \text{ cubic meters}
\]