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.(1 point)

(blank) cubic meters

Answer 1

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

\[
\text{Volume} = \pi r^2 h
\]

where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.

Given:
- Base radius \( r = 4 \) meters,
- Height \( h = 7 \) meters.

Substituting the values into the formula:

\[
\text{Volume} = 3.14 \times (4^2) \times 7
\]

Calculating \( 4^2 \):

\[
4^2 = 16
\]

Now, substitute that back:

\[
\text{Volume} = 3.14 \times 16 \times 7
\]

Calculating \( 16 \times 7 \):

\[
16 \times 7 = 112
\]

Now multiply by \( \pi \):

\[
\text{Volume} = 3.14 \times 112
\]

Calculating that:

\[
3.14 \times 112 = 350.68
\]

Rounding to the nearest hundredth, the volume of the cylinder is:

\[
\boxed{350.68} \text{ cubic meters}
\]