Question

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

Explanation:

Step1: Recall cone volume formula

The volume \( V \) of a cone is given by \( V = \frac{1}{3}\pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute values

Given \( r = 3 \, \text{m} \), \( h = 6 \, \text{m} \), and \( \pi \approx 3.14 \). Substitute into the formula:
\( V = \frac{1}{3} \times 3.14 \times 3^2 \times 6 \)

Step3: Simplify the expression

First, calculate \( 3^2 = 9 \). Then:
\( V = \frac{1}{3} \times 3.14 \times 9 \times 6 \)
Simplify \( \frac{1}{3} \times 9 = 3 \), so:
\( V = 3.14 \times 3 \times 6 \)
Calculate \( 3 \times 6 = 18 \), then:
\( V = 3.14 \times 18 \)
\( V = 56.52 \)

Step4: Round to nearest cubic meter

\( 56.52 \approx 57 \)

Answer:

\( 57 \)