How do you find the diameter of a sphere if you have the volume. Will give Brainliest

d = {∛ } x (2) (see below for explanation)

If volume = 34, d ≈ 4

Step-by-step explanation:

The volume of a sphere is:

V = (4/3) · π · r³

To find the diameter, you need to find the radius first. Isolate it to one side:

= r³

r³ =  

∛r³ =  ∛

r = ∛

So you would first multiply 4/3 by pi, then divide volume by that. Then cube root the whole thing. This will get you the radius.

Double this. This will get you the diameter.

r = ∛

d = {∛ } x (2)

If the volume is 34, then:

d = {∛ } x (2)

4/3 (pi) = 4.188...

34/41.88... = 8.116...

∛8.116... = 2.009...

2.009...(2) = 4.019...

d = 4.019389542

d ≈ 4

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.