Using a slide callipers, the length and radius of a cylinder are...

The volume of a cylinder is given by the formula $V = \pi r^2 l$

Substituting the given values, $r = 1.75 \text{ cm}$ and $l = 4.54 \text{ cm}$:

$V = \pi \times (1.75)^2 \times 4.54$

$V = 3.1416 \times 3.0625 \times 4.54 = 43.682 \text{ cm}^3$

Since the measured quantities $r$ and $l$ both have $3$ significant figures, the final result must be rounded off to $3$ significant figures.

Rounding off $43.682$ to $3$ significant figures, we get $43.7 \text{ cm}^3$.