Final answer:
The height of the tank is approximately 8.49 m.
Step-by-step explanation:
The height of the tank can be determined using the Pythagorean Theorem.
The slant height of the cone is given as 9 m and the radius is given as 3 m.
We can use the Pythagorean Theorem to find the height (h) of the tank:
h = sqrt(9^2 - 3^2)
= sqrt(81 - 9)
= sqrt(72)
Therefore, the height of the tank is approximately 8.49 m.