Find the missing dimension of the cone. Volume = 118π ft^3 Diameter = 2/3 ft Height = ?

Note: For Big Ideas Math 7th Red Accelerated 15.2 Volume of Cones

The formula to calculate the volume of a cone is:

v = h * π * r ^ 2/3

Where,

h: height

r: radio

We then clear the value of h:

h = (3 * v) / (π * r ^ 2)

We substitute the values:

h = (3 * (118π)) / (π * ((2/3) / (2)) ^ 2)

h = 3186 ft

Answer:

The height of the cone is:

h = 3186 ft