Question

Find the volume, in cubic meters, of a cylinder with a radius of 4 meters and a height of 7 meters . Round your answer to the nearest hundredth in cubic meters

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,
- \( h \) is the height.

Given a radius of \( r = 4 \) meters and a height of \( h = 7 \) meters, we can substitute these values into the formula:

\[
V = \pi (4)^2 (7)
\]
\[
V = \pi (16)(7)
\]
\[
V = \pi (112)
\]
\[
V \approx 3.14159 \times 112 \approx 351.858
\]

Now, rounding to the nearest hundredth:

\[
V \approx 351.86 \, \text{cubic meters}
\]

Thus, the volume of the cylinder is approximately \( \boxed{351.86} \) cubic meters.