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 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 into the formula

We are given that \( r = 4 \, \text{m} \), \( h = 5 \, \text{m} \), and \( \pi \approx 3.14 \). Substituting these values into the formula, we get:

$$ V = 3.14 \times (4)^2 \times 5 $$

Step3: Calculate \( (4)^2 \)

First, calculate \( 4^2 = 16 \). So now the formula becomes:

$$ V = 3.14 \times 16 \times 5 $$

Step4: Multiply \( 3.14 \) and \( 16 \)

Calculate \( 3.14 \times 16 = 50.24 \). Now the formula is:

$$ V = 50.24 \times 5 $$

Step5: Multiply \( 50.24 \) and \( 5 \)

Calculate \( 50.24 \times 5 = 251.2 \). Rounding to the nearest cubic meter, we get \( 251 \).

Answer:

\( 251 \)