The volume of the spirit is 48 M. What is the volume of a cylinder if its radius is the same as the Spears and its height is equal to the spear's diameter?
To calculate the volume of the cylinder, we first need to find the radius and height of the spear.
Given that the volume of the spear is 48 cubic meters, we can use the formula for the volume of a sphere:
V = (4/3) * π * r^3
48 = (4/3) * π * r^3
r^3 = 48 / [(4/3) * π]
r^3 = 36 / π
r ≈ 3.432 meters
Now that we have the radius of the sphere, the height of the cylinder (equal to the sphere's diameter) is given by:
Diameter = 2 * r
Height = Diameter = 2 * 3.432
Height ≈ 6.864 meters
Finally, we can calculate the volume of the cylinder using the formula:
V = π * r^2 * h
V = π * (3.432)^2 * 6.864
V ≈ 245.67 cubic meters
Therefore, the volume of the cylinder with a height equal to the spear's diameter and a radius equal to the spear's radius is approximately 245.67 cubic meters.