is cylindrical tab for storing oil as a capacity of 1,078 m if its eyes and the strangers are equal calculate the depth of oil in the tank when full 22/7

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago
The formula for finding the volume of a cylinder is V = πr^2h, where r is the radius of the cylinder and h is the height of the cylinder.

Since the capacity of the cylindrical tank is 1,078 m and the tank is full, we can set V = 1,078 m.

Given that the eyes and the strangers are equal, the radius of the cylinder (r) is equal to the height of the cylinder (h).

Therefore, we can rewrite the formula as V = πh^3.

Rearranging the formula to solve for h, we get:

h^3 = V / π

h = (V / π)^(1/3)

Substitute V = 1,078 m into the formula:

h = (1,078 / 22/7)^(1/3)

h = (1,078 * 7/22)^(1/3)

h = 344.45^(1/3)

Taking the cube root of 344.45, we get:

h ≈ 6.92 meters

Therefore, the depth of oil in the tank when full is approximately 6.92 meters.