Question

a cylinder is shown below:
image of a cylinder with r = 3 m and h = 6 m
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 volume \( V \) of a cylinder is given by the formula \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values

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

Step3: Calculate \( (3)^{2} \)

First, calculate \( 3^{2}=9 \). So the formula becomes \( V = 3.14\times9\times6 \)

Step4: Multiply the numbers

First, multiply \( 3.14\times9 = 28.26 \). Then multiply \( 28.26\times6=169.56 \)

Step5: Round to the nearest cubic meter

Since \( 169.56 \) is already close to \( 170 \) when rounded to the nearest whole number.

Answer:

\( 170 \)