Question

figure is not drawn to scale.
what is the volume of the cone?
m³
make your answer accurate to at least 2 decimal places.
question help: video
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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: Identify values

From the figure, \( r = 8 \, \text{m} \) and \( h = 12 \, \text{m} \).

Step3: Substitute into formula

Substitute \( r = 8 \) and \( h = 12 \) into the formula:
\( V = \frac{1}{3}\pi (8)^2 (12) \)
First, calculate \( 8^2 = 64 \), then \( 64 \times 12 = 768 \).
So, \( V = \frac{1}{3}\pi \times 768 = 256\pi \).

Step4: Compute numerical value

Using \( \pi \approx 3.14159 \), \( 256 \times 3.14159 \approx 804.25 \) (rounded to two decimal places).

Answer:

\( 804.25 \)