Question

Question
Use the image to answer the 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, 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.

In this case, you have:
- Radius \( r = 4 \) meters,
- Height \( h = 7 \) meters,
- \( \pi \approx 3.14 \).

Now, plug the values into the formula:

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

First, calculate \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute back into the volume formula:

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

Calculate \( 16 \times 7 \):

\[
16 \times 7 = 112
\]

Now calculate the volume:

\[
V = 3.14 \times 112
\]

Now perform the multiplication:

\[
V = 351.68
\]

Finally, rounding to the nearest hundredth gives:

\[
V \approx 351.68 \text{ cubic meters}
\]

So, the volume of the cylinder is approximately \( \text{351.68 cubic meters} \).