Question

A cylindrical tank for storing oil has a capacity of 1078cm³. If it's height and radius are equal, calculate the depth of oil in the tank when full (take p = 22/7).

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let the height of the cylinder be h and the radius be r.

We know that the volume of a cylinder is given by the formula V = πr^2h.

Given that the capacity of the tank is 1078 cm³, we can write:

1078 = πr^2h

We also know that the height and the radius are equal, so h = r.

Substitute h = r into the equation above:

1078 = πr^2r

1078 = πr^3

Solve for r:

r^3 = 1078 / π

r = (1078 / π)^(1/3)

r ≈ 6.73 cm

Now that we have found the radius, we can calculate the depth of oil in the tank when full:

Depth = h = r ≈ 6.73 cm

Therefore, the depth of oil in the tank when full is approximately 6.73 cm.