Final answer:
The height of the cylinder is approximately 2 meters.
Step-by-step explanation:
A cylinder is a three-dimensional geometric figure with two parallel circular bases and a curved surface connecting the corresponding points on the two bases. The axis, which is the line segment connecting the centers of the two circular bases, is perpendicular to the planes of the bases.
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Substituting the given values:
170 = π3.142 × (5.2m)² × h
Simplifying the equation:
170 = 84.9496 × h
Dividing both sides by 84.9496:
170 / 84.9496 = h
h ≈ 2 meters