The volume of the cylinder is 80 pi m ^ 3. What is the height if the base radius is 4 dm?

To find the desired height of the cylinder, we will use the formula: V = S * h = Π * R ^ 2 * h, from where we can express: h = V / (Π * R^2).

Task data: V – cylinder volume (V = 80Π m3); R is the radius of the base (R = 4 dm, in the SI system R = 0.4 m).

Let’s make a calculation: h = V / (Π * R ^ 2) = 80Π / (Π * 0.42) = 80 / 0.16 = 500 m.

Answer: The height of the cylinder, according to the calculation, is 500 m.