Answer: 6 tons of salt
Explanation:
To find out how many tons of salt the cylindrical storage container will hold, we need to compare the volumes of the cone and the cylinder.
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where V is the volume, π is approximately 3.14159, r is the radius of the base of the cone, and h is the height of the cone.
Since the diameter and height of the cone are the same as the diameter and height of the cylinder, we know that the radius of the base of the cone is half of the diameter. Let's denote the radius as r.
The volume of the cone is given as 6 tons, so we have:
6 = (1/3)πr²h
Now, let's consider the volume of the cylinder. The volume of a cylinder can be calculated using the formula V = πr²h.
Since the diameter and height of the cone are the same as the diameter and height of the cylinder, we can directly compare the volumes. The volume of the cylinder will be the same as the volume of the cone, which is 6 tons.
Therefore, the cylindrical storage container will hold 6 tons of salt.