Answer
The volume of the cylinder is 1.16 x $10^{3}cm^{3}$ .
Work Step by Step
We are given the radius and the height of the cylinder, so we can apply the formula for cylinder volume:
$V_{cylinder}$ = π x $r^{2}$ x h
In this formula π is a constant with value 3.14, while we are given radius 2.56 cm and height 56.32 cm.
$V_{cylinder}$ = 3.14 x $(2.56 cm )^{2}$ x 56.32 cm
$V_{cylinder}$ = 1,159 $cm^{3}$
or we can write : $V_{cylinder}$ = 1.16 x $10^{3}cm^{3}$ ( to three significant numbers)
So the volume of the cylinder is 1.16 x $10^{3}cm^{3}$ .