Question

an additive injection tank at a petroleum refinery has the shape and an inverted cone. The tank space has a radius of 3 m and a slint height of 9 m. The slant height of a cone is the distance from the tip of the cone to a point on the edge of the circular base. what is the height of the tank? round your answer to the nearest hundredth.​

Answer 1

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.