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, and \( h \) is the height.

Given:
- Radius \( r = 4 \) meters
- Height \( h = 7 \) meters
- Using \( \pi \approx 3.14 \)

Now, plug the values into the formula:

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

First, calculate \( 4^2 \):

\[
4^2 = 16
\]

Now multiply that by the height:

\[
16 \times 7 = 112
\]

Now multiply by \( \pi \):

\[
V = 3.14 \times 112
\]

Calculating that gives:

\[
V = 351.68
\]

Thus, the volume of the cylinder is approximately:

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