He volume of a cone with height h and radius r can be found using the formula V = 1 3 π r 2 h Find the height of the cone if the volume of the cone is 509 cubic feet and the radius is 9 feet. Use π ≈ 3.14.

The answer to your question is: 6 ft

Step-by-step explanation:

Data

height = ?

Volume = 509 ft³

radius = 9 ft

π = 3.14

Formula

V = (1/3) πr²h

Process

h = 3V / πr²

h = 3 (509) / (3.14x9²) substitution

h = 1527 / 254.34 simplification

h = 6. ft