Question

a cylinder is shown below.
what is its volume to the nearest cubic meter?
use 3.14 to approximate π.
v ≈ □ m³

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \( V \) of a cylinder is \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values

We know that \( r = 3\space m \), \( h=6\space m \) and \( \pi\approx3.14 \). Substitute these values into the formula:
\( V=3.14\times(3)^{2}\times6 \)

Step3: Calculate \( r^{2} \)

First, calculate \( 3^{2}=9 \).

Step4: Multiply the values

Then, \( 3.14\times9 = 28.26 \), and then \( 28.26\times6=169.56 \).

Step5: Round to the nearest cubic meter

\( 169.56\approx170 \) (since the decimal part \( 0.56\geq0.5 \), we round up).

Answer:

\( 170 \)