what is the diameter of a spherical tank that holds 8,500 ft3 of water

Answer 1

First of all, recognize that ft 3 means volume.

Then, use the equation of the volume of a sphere (V = 4/3 * π * r³), to find the radius r.

4/3 * π * r³ = 8500 ft3

You need to solve this equation for r:

To do so:

1. Move the "3" multiplying to the other side. 4*π*r³ = 25 500
2. Move the "4π" dividing to the other side. r³ = 25 500/4π = 2029.22

Take the cubic root of 2029. r = 3√2029 = 12.66 ft

At this point, the radius equals 12.66 ft.

Knowing that the diameter is twice the radius, just multiply r times 2.

Diameter = 12.66*2

Diameter = 25.32 ft