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

We translate the value of the radius of the base of the cylinder – R into the SI system:

1 dm contains 0.1 m. R = 4 dm = 4 * 0.1 m = 0.4 m.

The volume of the cylinder V is the product of the height of the cylinder H and the area of its base S (V = S * H), which in turn depends on the radius as follows – S = π * R ^ 2, then:

V = π * R ^ 2 * N.

Let us express the height H from here and find its value by substituting the value of the volume of the cylinder:

H = V / (π * R ^ 2) = (80 * n) / (n * (0.4) ^ 2) = 80 / 0.16 = 200 m