Unit Conversion

The diameter is in cm, but the length is in meters. Convert length to cm: $3 \text{ m} = 3 \times 100 = 300 \text{ cm}$.

$h = 300 \text{ cm}$

Calculate Radius

The radius $r$ is half of the diameter $d = 56 \text{ cm}$.

$r = \frac{d}{2} = \frac{56}{2} = 28 \text{ cm}$

Calculate Volume

Apply the volume of a cylinder formula $V = \pi r^2 h$ with $r=28$, $h=300$, and $\pi = 22/7$.

$V = \frac{22}{7} \times 28 \times 28 \times 300$

Final Computation

Simplify the expression: $V = 22 \times 4 \times 28 \times 300 = 88 \times 8400 = 739200$.

$V = 739200 \text{ cm}^3$