Find the radius

The radius $r$ is half of the diameter $d$.

$r = \frac{d}{2} = \frac{10}{2} = 5 \text{ cm}$

Apply Volume formula

Substitute $r = 5$ cm and $h = 10.5$ cm into the cylinder volume formula.

$V = \pi r^2 h = \frac{22}{7} \times 5^2 \times 10.5$

Calculate the result

Simplify the expression: $V = \frac{22}{7} \times 25 \times 10.5$. Since $10.5 / 7 = 1.5$, we get $V = 22 \times 25 \times 1.5 = 22 \times 37.5 = 825$.

$V = 825 \text{ cm}^3$