Identify Given Parameters

Note down the radius and height provided in the question: radius $r = 7$ cm and height $h = 10$ cm.

$r = 7\text{ cm}, \quad h = 10\text{ cm}$

Recall the Volume Formula

The formula for the volume of a cylinder is the product of the base area and the height: $V = \pi r^2 h$.

$V = \pi r^2 h$

Substitute Values and Calculate

Substitute $\pi = \frac{22}{7}$, $r = 7$, and $h = 10$ into the formula to compute the final volume.

$V = \frac{22}{7} \times (7)^2 \times 10 = \frac{22}{7} \times 49 \times 10 = 22 \times 7 \times 10 = 1540\text{ cm}^3$